1,1,12,0,0.417689," ","integrate(x^2+x+1,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} + x"," ",0,"1/3*x^3 + 1/2*x^2 + x","A",0
2,1,16,0,0.421197," ","integrate(x^2*(2*x^2+x)^2,x, algorithm=""maxima"")","\frac{4}{7} \, x^{7} + \frac{2}{3} \, x^{6} + \frac{1}{5} \, x^{5}"," ",0,"4/7*x^7 + 2/3*x^6 + 1/5*x^5","A",0
3,1,16,0,0.419595," ","integrate(x*(x^2+2*x+1),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + \frac{2}{3} \, x^{3} + \frac{1}{2} \, x^{2}"," ",0,"1/4*x^4 + 2/3*x^3 + 1/2*x^2","A",0
4,1,2,0,0.417238," ","integrate(1/x,x, algorithm=""maxima"")","\log\left(x\right)"," ",0,"log(x)","A",0
5,1,32,0,0.423469," ","integrate((1+x)^3/(-1+x)^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(9 \, x^{2} - 9 \, x + 4\right)}}{3 \, {\left(x^{3} - 3 \, x^{2} + 3 \, x - 1\right)}} + \log\left(x - 1\right)"," ",0,"-2/3*(9*x^2 - 9*x + 4)/(x^3 - 3*x^2 + 3*x - 1) + log(x - 1)","A",0
6,1,24,0,0.445494," ","integrate(1/(-1+x)/x/(1+x)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(x + 1\right)}} + \frac{3}{4} \, \log\left(x + 1\right) + \frac{1}{4} \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"-1/2/(x + 1) + 3/4*log(x + 1) + 1/4*log(x - 1) - log(x)","A",0
7,1,40,0,0.451890," ","integrate((a*x+b)/(-p+x)/(-q+x),x, algorithm=""maxima"")","\frac{{\left(a p + b\right)} \log\left(-p + x\right)}{p - q} - \frac{{\left(a q + b\right)} \log\left(-q + x\right)}{p - q}"," ",0,"(a*p + b)*log(-p + x)/(p - q) - (a*q + b)*log(-q + x)/(p - q)","A",0
8,-2,0,0,0.000000," ","integrate(1/(a*x^2+b*x+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
9,1,14,0,0.970285," ","integrate((a*x+b)/(x^2+1),x, algorithm=""maxima"")","b \arctan\left(x\right) + \frac{1}{2} \, a \log\left(x^{2} + 1\right)"," ",0,"b*arctan(x) + 1/2*a*log(x^2 + 1)","A",0
10,1,14,0,0.949681," ","integrate(1/(x^2-2*x+3),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x - 1\right)}\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(x - 1))","A",0
11,1,39,0,0.951597," ","integrate(1/(-1+x)^2/(x^2+1)^2,x, algorithm=""maxima"")","-\frac{x^{2} + x}{4 \, {\left(x^{3} - x^{2} + x - 1\right)}} + \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{4} \, \log\left(x^{2} + 1\right) - \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"-1/4*(x^2 + x)/(x^3 - x^2 + x - 1) + 1/4*arctan(x) + 1/4*log(x^2 + 1) - 1/2*log(x - 1)","A",0
12,1,78,0,0.421609," ","integrate(x/(-a+x)/(-b+x)/(-c+x),x, algorithm=""maxima"")","\frac{a \log\left(-a + x\right)}{a^{2} - a b - {\left(a - b\right)} c} - \frac{b \log\left(-b + x\right)}{a b - b^{2} - {\left(a - b\right)} c} + \frac{c \log\left(-c + x\right)}{a b - {\left(a + b\right)} c + c^{2}}"," ",0,"a*log(-a + x)/(a^2 - a*b - (a - b)*c) - b*log(-b + x)/(a*b - b^2 - (a - b)*c) + c*log(-c + x)/(a*b - (a + b)*c + c^2)","A",0
13,1,43,0,0.424839," ","integrate(x/(a^2+x^2)/(b^2+x^2),x, algorithm=""maxima"")","-\frac{\log\left(a^{2} + x^{2}\right)}{2 \, {\left(a^{2} - b^{2}\right)}} + \frac{\log\left(b^{2} + x^{2}\right)}{2 \, {\left(a^{2} - b^{2}\right)}}"," ",0,"-1/2*log(a^2 + x^2)/(a^2 - b^2) + 1/2*log(b^2 + x^2)/(a^2 - b^2)","A",0
14,1,40,0,0.967951," ","integrate(x^2/(a^2+x^2)/(b^2+x^2),x, algorithm=""maxima"")","\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(x/a)/(a^2 - b^2) - b*arctan(x/b)/(a^2 - b^2)","A",0
15,1,19,0,0.950295," ","integrate(x/(-1+x)/(x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"1/2*arctan(x) - 1/4*log(x^2 + 1) + 1/2*log(x - 1)","A",0
16,1,34,0,0.947702," ","integrate(x/(x^3+1),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left(x + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/6*log(x^2 - x + 1) - 1/3*log(x + 1)","A",0
17,1,31,0,0.950177," ","integrate(x^3/(-1+x)^2/(x^3+1),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(x - 1\right)}} - \frac{1}{3} \, \log\left(x^{2} - x + 1\right) - \frac{1}{12} \, \log\left(x + 1\right) + \frac{3}{4} \, \log\left(x - 1\right)"," ",0,"-1/2/(x - 1) - 1/3*log(x^2 - x + 1) - 1/12*log(x + 1) + 3/4*log(x - 1)","A",0
18,1,72,0,0.973001," ","integrate(1/(x^4+1),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{1}{8} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 1/8*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/8*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
19,1,72,0,0.977422," ","integrate(x^2/(x^4+1),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 1/8*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/8*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
20,1,53,0,0.950684," ","integrate(1/(x^4+x^2+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{4} \, \log\left(x^{2} + x + 1\right) - \frac{1}{4} \, \log\left(x^{2} - x + 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/4*log(x^2 + x + 1) - 1/4*log(x^2 - x + 1)","A",0
21,1,18,0,0.414773," ","integrate((b*x+a)^p,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{p + 1}}{b {\left(p + 1\right)}}"," ",0,"(b*x + a)^(p + 1)/(b*(p + 1))","A",0
22,1,42,0,0.431233," ","integrate(x*(b*x+a)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(p + 1\right)} x^{2} + a b p x - a^{2}\right)} {\left(b x + a\right)}^{p}}{{\left(p^{2} + 3 \, p + 2\right)} b^{2}}"," ",0,"(b^2*(p + 1)*x^2 + a*b*p*x - a^2)*(b*x + a)^p/((p^2 + 3*p + 2)*b^2)","A",0
23,1,68,0,0.430848," ","integrate(x^2*(b*x+a)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{2} + 3 \, p + 2\right)} b^{3} x^{3} + {\left(p^{2} + p\right)} a b^{2} x^{2} - 2 \, a^{2} b p x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{p}}{{\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{3}}"," ",0,"((p^2 + 3*p + 2)*b^3*x^3 + (p^2 + p)*a*b^2*x^2 - 2*a^2*b*p*x + 2*a^3)*(b*x + a)^p/((p^3 + 6*p^2 + 11*p + 6)*b^3)","A",0
24,1,10,0,0.410564," ","integrate(1/(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)}{b}"," ",0,"log(b*x + a)/b","A",0
25,1,12,0,0.417742," ","integrate(1/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{{\left(b x + a\right)} b}"," ",0,"-1/((b*x + a)*b)","A",0
26,1,18,0,0.415284," ","integrate(x/(b*x+a),x, algorithm=""maxima"")","\frac{x}{b} - \frac{a \log\left(b x + a\right)}{b^{2}}"," ",0,"x/b - a*log(b*x + a)/b^2","A",0
27,1,29,0,0.413364," ","integrate(x^2/(b*x+a),x, algorithm=""maxima"")","\frac{a^{2} \log\left(b x + a\right)}{b^{3}} + \frac{b x^{2} - 2 \, a x}{2 \, b^{2}}"," ",0,"a^2*log(b*x + a)/b^3 + 1/2*(b*x^2 - 2*a*x)/b^2","A",0
28,1,18,0,0.411793," ","integrate(1/x/(b*x+a),x, algorithm=""maxima"")","-\frac{\log\left(b x + a\right)}{a} + \frac{\log\left(x\right)}{a}"," ",0,"-log(b*x + a)/a + log(x)/a","A",0
29,1,28,0,0.412015," ","integrate(1/x^2/(b*x+a),x, algorithm=""maxima"")","\frac{b \log\left(b x + a\right)}{a^{2}} - \frac{b \log\left(x\right)}{a^{2}} - \frac{1}{a x}"," ",0,"b*log(b*x + a)/a^2 - b*log(x)/a^2 - 1/(a*x)","A",0
30,1,45,0,0.417151," ","integrate(1/x^2/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{2 \, b x + a}{a^{2} b x^{2} + a^{3} x} + \frac{2 \, b \log\left(b x + a\right)}{a^{3}} - \frac{2 \, b \log\left(x\right)}{a^{3}}"," ",0,"-(2*b*x + a)/(a^2*b*x^2 + a^3*x) + 2*b*log(b*x + a)/a^3 - 2*b*log(x)/a^3","A",0
31,1,10,0,0.951968," ","integrate(1/(c^2+x^2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{x}{c}\right)}{c}"," ",0,"arctan(x/c)/c","A",0
32,1,21,0,0.430751," ","integrate(1/(c^2-x^2),x, algorithm=""maxima"")","\frac{\log\left(c + x\right)}{2 \, c} - \frac{\log\left(-c + x\right)}{2 \, c}"," ",0,"1/2*log(c + x)/c - 1/2*log(-c + x)/c","B",0
33,1,66,0,0.958821," ","integrate(1/(2*x^3-1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2 \cdot 2^{\frac{2}{3}} x + 2^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} x^{2} + 2^{\frac{1}{3}} x + 1\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(\frac{1}{2} \cdot 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} x - 1\right)}\right)"," ",0,"-1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2*2^(2/3)*x + 2^(1/3))) - 1/12*2^(2/3)*log(2^(2/3)*x^2 + 2^(1/3)*x + 1) + 1/6*2^(2/3)*log(1/2*2^(2/3)*(2^(1/3)*x - 1))","A",0
34,1,56,0,0.959206," ","integrate(1/(x^3-2),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2 \, x + 2^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \cdot 2^{\frac{1}{3}} \log\left(x^{2} + 2^{\frac{1}{3}} x + 2^{\frac{2}{3}}\right) + \frac{1}{6} \cdot 2^{\frac{1}{3}} \log\left(x - 2^{\frac{1}{3}}\right)"," ",0,"-1/6*sqrt(3)*2^(1/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2*x + 2^(1/3))) - 1/12*2^(1/3)*log(x^2 + 2^(1/3)*x + 2^(2/3)) + 1/6*2^(1/3)*log(x - 2^(1/3))","A",0
35,1,97,0,0.961011," ","integrate(1/(a*x^3-b),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{3 \, a \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} + x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, a \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{\log\left(x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \, a \left(\frac{b}{a}\right)^{\frac{2}{3}}}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + (b/a)^(1/3))/(b/a)^(1/3))/(a*(b/a)^(2/3)) - 1/6*log(x^2 + x*(b/a)^(1/3) + (b/a)^(2/3))/(a*(b/a)^(2/3)) + 1/3*log(x - (b/a)^(1/3))/(a*(b/a)^(2/3))","A",0
36,1,34,0,0.978137," ","integrate(1/(x^4-2),x, algorithm=""maxima"")","-\frac{1}{4} \cdot 2^{\frac{1}{4}} \arctan\left(\frac{1}{2} \cdot 2^{\frac{3}{4}} x\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \log\left(\frac{x - 2^{\frac{1}{4}}}{x + 2^{\frac{1}{4}}}\right)"," ",0,"-1/4*2^(1/4)*arctan(1/2*2^(3/4)*x) + 1/8*2^(1/4)*log((x - 2^(1/4))/(x + 2^(1/4)))","A",0
37,1,41,0,0.979365," ","integrate(1/(5*x^4-1),x, algorithm=""maxima"")","-\frac{1}{10} \cdot 5^{\frac{3}{4}} \arctan\left(5^{\frac{1}{4}} x\right) + \frac{1}{20} \cdot 5^{\frac{3}{4}} \log\left(\frac{\sqrt{5} x - 5^{\frac{1}{4}}}{\sqrt{5} x + 5^{\frac{1}{4}}}\right)"," ",0,"-1/10*5^(3/4)*arctan(5^(1/4)*x) + 1/20*5^(3/4)*log((sqrt(5)*x - 5^(1/4))/(sqrt(5)*x + 5^(1/4)))","A",0
38,1,151,0,0.968552," ","integrate(1/(3*x^4+7),x, algorithm=""maxima"")","\frac{1}{84} \cdot 7^{\frac{1}{4}} 3^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{1}{42} \cdot 7^{\frac{3}{4}} 3^{\frac{3}{4}} \sqrt{2} {\left(2 \, \sqrt{3} x + 7^{\frac{1}{4}} 3^{\frac{1}{4}} \sqrt{2}\right)}\right) + \frac{1}{84} \cdot 7^{\frac{1}{4}} 3^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{1}{42} \cdot 7^{\frac{3}{4}} 3^{\frac{3}{4}} \sqrt{2} {\left(2 \, \sqrt{3} x - 7^{\frac{1}{4}} 3^{\frac{1}{4}} \sqrt{2}\right)}\right) + \frac{1}{168} \cdot 7^{\frac{1}{4}} 3^{\frac{3}{4}} \sqrt{2} \log\left(\sqrt{3} x^{2} + 7^{\frac{1}{4}} 3^{\frac{1}{4}} \sqrt{2} x + \sqrt{7}\right) - \frac{1}{168} \cdot 7^{\frac{1}{4}} 3^{\frac{3}{4}} \sqrt{2} \log\left(\sqrt{3} x^{2} - 7^{\frac{1}{4}} 3^{\frac{1}{4}} \sqrt{2} x + \sqrt{7}\right)"," ",0,"1/84*7^(1/4)*3^(3/4)*sqrt(2)*arctan(1/42*7^(3/4)*3^(3/4)*sqrt(2)*(2*sqrt(3)*x + 7^(1/4)*3^(1/4)*sqrt(2))) + 1/84*7^(1/4)*3^(3/4)*sqrt(2)*arctan(1/42*7^(3/4)*3^(3/4)*sqrt(2)*(2*sqrt(3)*x - 7^(1/4)*3^(1/4)*sqrt(2))) + 1/168*7^(1/4)*3^(3/4)*sqrt(2)*log(sqrt(3)*x^2 + 7^(1/4)*3^(1/4)*sqrt(2)*x + sqrt(7)) - 1/168*7^(1/4)*3^(3/4)*sqrt(2)*log(sqrt(3)*x^2 - 7^(1/4)*3^(1/4)*sqrt(2)*x + sqrt(7))","A",0
39,0,0,0,0.000000," ","integrate(1/(x^4+3*x^2-1),x, algorithm=""maxima"")","\int \frac{1}{x^{4} + 3 \, x^{2} - 1}\,{d x}"," ",0,"integrate(1/(x^4 + 3*x^2 - 1), x)","F",0
40,0,0,0,0.000000," ","integrate(1/(x^4-3*x^2-1),x, algorithm=""maxima"")","\int \frac{1}{x^{4} - 3 \, x^{2} - 1}\,{d x}"," ",0,"integrate(1/(x^4 - 3*x^2 - 1), x)","F",0
41,1,75,0,0.960900," ","integrate(1/(x^4-3*x^2+1),x, algorithm=""maxima"")","-\frac{1}{20} \, \sqrt{5} \log\left(\frac{2 \, x - \sqrt{5} + 1}{2 \, x + \sqrt{5} + 1}\right) - \frac{1}{20} \, \sqrt{5} \log\left(\frac{2 \, x - \sqrt{5} - 1}{2 \, x + \sqrt{5} - 1}\right) - \frac{1}{4} \, \log\left(x^{2} + x - 1\right) + \frac{1}{4} \, \log\left(x^{2} - x - 1\right)"," ",0,"-1/20*sqrt(5)*log((2*x - sqrt(5) + 1)/(2*x + sqrt(5) + 1)) - 1/20*sqrt(5)*log((2*x - sqrt(5) - 1)/(2*x + sqrt(5) - 1)) - 1/4*log(x^2 + x - 1) + 1/4*log(x^2 - x - 1)","A",0
42,0,0,0,0.000000," ","integrate(1/(x^4-4*x^2+1),x, algorithm=""maxima"")","\int \frac{1}{x^{4} - 4 \, x^{2} + 1}\,{d x}"," ",0,"integrate(1/(x^4 - 4*x^2 + 1), x)","F",0
43,0,0,0,0.000000," ","integrate(1/(x^4+4*x^2+1),x, algorithm=""maxima"")","\int \frac{1}{x^{4} + 4 \, x^{2} + 1}\,{d x}"," ",0,"integrate(1/(x^4 + 4*x^2 + 1), x)","F",0
44,0,0,0,0.000000," ","integrate(1/(x^4+x^2+2),x, algorithm=""maxima"")","\int \frac{1}{x^{4} + x^{2} + 2}\,{d x}"," ",0,"integrate(1/(x^4 + x^2 + 2), x)","F",0
45,0,0,0,0.000000," ","integrate(1/(x^4-x^2+2),x, algorithm=""maxima"")","\int \frac{1}{x^{4} - x^{2} + 2}\,{d x}"," ",0,"integrate(1/(x^4 - x^2 + 2), x)","F",0
46,1,65,0,0.949439," ","integrate(1/(x^6-1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{12} \, \log\left(x^{2} + x + 1\right) + \frac{1}{12} \, \log\left(x^{2} - x + 1\right) - \frac{1}{6} \, \log\left(x + 1\right) + \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/12*log(x^2 + x + 1) + 1/12*log(x^2 - x + 1) - 1/6*log(x + 1) + 1/6*log(x - 1)","A",0
47,1,112,0,0.954920," ","integrate(1/(x^6-2),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} 2^{\frac{1}{6}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{5}{6}} {\left(2 \, x + 2^{\frac{1}{6}}\right)}\right) - \frac{1}{12} \, \sqrt{3} 2^{\frac{1}{6}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{5}{6}} {\left(2 \, x - 2^{\frac{1}{6}}\right)}\right) - \frac{1}{24} \cdot 2^{\frac{1}{6}} \log\left(x^{2} + 2^{\frac{1}{6}} x + 2^{\frac{1}{3}}\right) + \frac{1}{24} \cdot 2^{\frac{1}{6}} \log\left(x^{2} - 2^{\frac{1}{6}} x + 2^{\frac{1}{3}}\right) - \frac{1}{12} \cdot 2^{\frac{1}{6}} \log\left(x + 2^{\frac{1}{6}}\right) + \frac{1}{12} \cdot 2^{\frac{1}{6}} \log\left(x - 2^{\frac{1}{6}}\right)"," ",0,"-1/12*sqrt(3)*2^(1/6)*arctan(1/6*sqrt(3)*2^(5/6)*(2*x + 2^(1/6))) - 1/12*sqrt(3)*2^(1/6)*arctan(1/6*sqrt(3)*2^(5/6)*(2*x - 2^(1/6))) - 1/24*2^(1/6)*log(x^2 + 2^(1/6)*x + 2^(1/3)) + 1/24*2^(1/6)*log(x^2 - 2^(1/6)*x + 2^(1/3)) - 1/12*2^(1/6)*log(x + 2^(1/6)) + 1/12*2^(1/6)*log(x - 2^(1/6))","A",0
48,1,107,0,0.975062," ","integrate(1/(x^6+2),x, algorithm=""maxima"")","\frac{1}{24} \, \sqrt{3} 2^{\frac{1}{6}} \log\left(x^{2} + \sqrt{3} 2^{\frac{1}{6}} x + 2^{\frac{1}{3}}\right) - \frac{1}{24} \, \sqrt{3} 2^{\frac{1}{6}} \log\left(x^{2} - \sqrt{3} 2^{\frac{1}{6}} x + 2^{\frac{1}{3}}\right) + \frac{1}{12} \cdot 2^{\frac{1}{6}} \arctan\left(\frac{1}{2} \cdot 2^{\frac{5}{6}} {\left(2 \, x + \sqrt{3} 2^{\frac{1}{6}}\right)}\right) + \frac{1}{12} \cdot 2^{\frac{1}{6}} \arctan\left(\frac{1}{2} \cdot 2^{\frac{5}{6}} {\left(2 \, x - \sqrt{3} 2^{\frac{1}{6}}\right)}\right) + \frac{1}{6} \cdot 2^{\frac{1}{6}} \arctan\left(\frac{1}{2} \cdot 2^{\frac{5}{6}} x\right)"," ",0,"1/24*sqrt(3)*2^(1/6)*log(x^2 + sqrt(3)*2^(1/6)*x + 2^(1/3)) - 1/24*sqrt(3)*2^(1/6)*log(x^2 - sqrt(3)*2^(1/6)*x + 2^(1/3)) + 1/12*2^(1/6)*arctan(1/2*2^(5/6)*(2*x + sqrt(3)*2^(1/6))) + 1/12*2^(1/6)*arctan(1/2*2^(5/6)*(2*x - sqrt(3)*2^(1/6))) + 1/6*2^(1/6)*arctan(1/2*2^(5/6)*x)","A",0
49,0,0,0,0.000000," ","integrate(1/(x^8+1),x, algorithm=""maxima"")","\int \frac{1}{x^{8} + 1}\,{d x}"," ",0,"integrate(1/(x^8 + 1), x)","F",0
50,1,88,0,0.954076," ","integrate(1/(x^8-1),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{1}{4} \, \arctan\left(x\right) - \frac{1}{8} \, \log\left(x + 1\right) + \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"-1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) - 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/4*arctan(x) - 1/8*log(x + 1) + 1/8*log(x - 1)","A",0
51,0,0,0,0.000000," ","integrate(1/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{1}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate(1/(x^8 - x^4 + 1), x)","F",0
52,1,40,0,0.960654," ","integrate(x^7/(x^12+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) + \frac{1}{24} \, \log\left(x^{8} - x^{4} + 1\right) - \frac{1}{12} \, \log\left(x^{4} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) + 1/24*log(x^8 - x^4 + 1) - 1/12*log(x^4 + 1)","A",0
53,1,8,0,0.409491," ","integrate(log(x),x, algorithm=""maxima"")","x \log\left(x\right) - x"," ",0,"x*log(x) - x","A",0
54,1,13,0,0.408452," ","integrate(x*log(x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left(x\right) - \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x) - 1/4*x^2","A",0
55,1,13,0,0.445464," ","integrate(x^2*log(x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \log\left(x\right) - \frac{1}{9} \, x^{3}"," ",0,"1/3*x^3*log(x) - 1/9*x^3","A",0
56,1,26,0,0.419137," ","integrate(x^p*log(x),x, algorithm=""maxima"")","\frac{x^{p + 1} \log\left(x\right)}{p + 1} - \frac{x^{p + 1}}{{\left(p + 1\right)}^{2}}"," ",0,"x^(p + 1)*log(x)/(p + 1) - x^(p + 1)/(p + 1)^2","A",0
57,1,12,0,0.433388," ","integrate(log(x)^2,x, algorithm=""maxima"")","{\left(\log\left(x\right)^{2} - 2 \, \log\left(x\right) + 2\right)} x"," ",0,"(log(x)^2 - 2*log(x) + 2)*x","A",0
58,1,71,0,0.421625," ","integrate(x^9*log(x)^11,x, algorithm=""maxima"")","\frac{1}{156250000} \, {\left(15625000 \, \log\left(x\right)^{11} - 17187500 \, \log\left(x\right)^{10} + 17187500 \, \log\left(x\right)^{9} - 15468750 \, \log\left(x\right)^{8} + 12375000 \, \log\left(x\right)^{7} - 8662500 \, \log\left(x\right)^{6} + 5197500 \, \log\left(x\right)^{5} - 2598750 \, \log\left(x\right)^{4} + 1039500 \, \log\left(x\right)^{3} - 311850 \, \log\left(x\right)^{2} + 62370 \, \log\left(x\right) - 6237\right)} x^{10}"," ",0,"1/156250000*(15625000*log(x)^11 - 17187500*log(x)^10 + 17187500*log(x)^9 - 15468750*log(x)^8 + 12375000*log(x)^7 - 8662500*log(x)^6 + 5197500*log(x)^5 - 2598750*log(x)^4 + 1039500*log(x)^3 - 311850*log(x)^2 + 62370*log(x) - 6237)*x^10","A",0
59,1,6,0,0.417386," ","integrate(log(x)^2/x,x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(x\right)^{3}"," ",0,"1/3*log(x)^3","A",0
60,1,3,0,0.545251," ","integrate(1/log(x),x, algorithm=""maxima"")","{\rm Ei}\left(\log\left(x\right)\right)"," ",0,"Ei(log(x))","A",0
61,1,5,0,0.528733," ","integrate(1/log(1+x),x, algorithm=""maxima"")","{\rm Ei}\left(\log\left(x + 1\right)\right)"," ",0,"Ei(log(x + 1))","A",0
62,1,3,0,0.410899," ","integrate(1/x/log(x),x, algorithm=""maxima"")","\log\left(\log\left(x\right)\right)"," ",0,"log(log(x))","A",0
63,1,6,0,0.518976," ","integrate(1/x^2/log(x)^2,x, algorithm=""maxima"")","-\Gamma\left(-1, \log\left(x\right)\right)"," ",0,"-gamma(-1, log(x))","A",0
64,1,12,0,0.410873," ","integrate(log(x)^p/x,x, algorithm=""maxima"")","\frac{\log\left(x\right)^{p + 1}}{p + 1}"," ",0,"log(x)^(p + 1)/(p + 1)","A",0
65,1,25,0,0.415676," ","integrate((a*x+b)*log(x),x, algorithm=""maxima"")","-\frac{1}{4} \, a x^{2} - b x + \frac{1}{2} \, {\left(a x^{2} + 2 \, b x\right)} \log\left(x\right)"," ",0,"-1/4*a*x^2 - b*x + 1/2*(a*x^2 + 2*b*x)*log(x)","A",0
66,1,47,0,0.417951," ","integrate((a*x+b)^2*log(x),x, algorithm=""maxima"")","-\frac{1}{9} \, a^{2} x^{3} - \frac{1}{2} \, a b x^{2} - b^{2} x + \frac{1}{3} \, {\left(a^{2} x^{3} + 3 \, a b x^{2} + 3 \, b^{2} x\right)} \log\left(x\right)"," ",0,"-1/9*a^2*x^3 - 1/2*a*b*x^2 - b^2*x + 1/3*(a^2*x^3 + 3*a*b*x^2 + 3*b^2*x)*log(x)","A",0
67,1,38,0,0.413979," ","integrate(log(x)/(a*x+b)^2,x, algorithm=""maxima"")","-\frac{\frac{\log\left(a x + b\right)}{b} - \frac{\log\left(x\right)}{b}}{a} - \frac{\log\left(x\right)}{{\left(a x + b\right)} a}"," ",0,"-(log(a*x + b)/b - log(x)/b)/a - log(x)/((a*x + b)*a)","A",0
68,1,44,0,0.414236," ","integrate(x*log(a*x+b),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left(a x + b\right) - \frac{1}{4} \, a {\left(\frac{2 \, b^{2} \log\left(a x + b\right)}{a^{3}} + \frac{a x^{2} - 2 \, b x}{a^{2}}\right)}"," ",0,"1/2*x^2*log(a*x + b) - 1/4*a*(2*b^2*log(a*x + b)/a^3 + (a*x^2 - 2*b*x)/a^2)","A",0
69,1,57,0,0.414350," ","integrate(x^2*log(a*x+b),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \log\left(a x + b\right) + \frac{1}{18} \, a {\left(\frac{6 \, b^{3} \log\left(a x + b\right)}{a^{4}} - \frac{2 \, a^{2} x^{3} - 3 \, a b x^{2} + 6 \, b^{2} x}{a^{3}}\right)}"," ",0,"1/3*x^3*log(a*x + b) + 1/18*a*(6*b^3*log(a*x + b)/a^4 - (2*a^2*x^3 - 3*a*b*x^2 + 6*b^2*x)/a^3)","A",0
70,1,23,0,0.957946," ","integrate(log(a^2+x^2),x, algorithm=""maxima"")","2 \, a \arctan\left(\frac{x}{a}\right) + x \log\left(a^{2} + x^{2}\right) - 2 \, x"," ",0,"2*a*arctan(x/a) + x*log(a^2 + x^2) - 2*x","A",0
71,1,28,0,0.419580," ","integrate(x*log(a^2+x^2),x, algorithm=""maxima"")","-\frac{1}{2} \, a^{2} - \frac{1}{2} \, x^{2} + \frac{1}{2} \, {\left(a^{2} + x^{2}\right)} \log\left(a^{2} + x^{2}\right)"," ",0,"-1/2*a^2 - 1/2*x^2 + 1/2*(a^2 + x^2)*log(a^2 + x^2)","A",0
72,1,36,0,0.964916," ","integrate(x^2*log(a^2+x^2),x, algorithm=""maxima"")","-\frac{2}{3} \, a^{3} \arctan\left(\frac{x}{a}\right) + \frac{1}{3} \, x^{3} \log\left(a^{2} + x^{2}\right) + \frac{2}{3} \, a^{2} x - \frac{2}{9} \, x^{3}"," ",0,"-2/3*a^3*arctan(x/a) + 1/3*x^3*log(a^2 + x^2) + 2/3*a^2*x - 2/9*x^3","A",0
73,1,44,0,0.957155," ","integrate(x^4*log(a^2+x^2),x, algorithm=""maxima"")","\frac{2}{5} \, a^{5} \arctan\left(\frac{x}{a}\right) + \frac{1}{5} \, x^{5} \log\left(a^{2} + x^{2}\right) - \frac{2}{5} \, a^{4} x + \frac{2}{15} \, a^{2} x^{3} - \frac{2}{25} \, x^{5}"," ",0,"2/5*a^5*arctan(x/a) + 1/5*x^5*log(a^2 + x^2) - 2/5*a^4*x + 2/15*a^2*x^3 - 2/25*x^5","A",0
74,1,31,0,0.423266," ","integrate(log(-a^2+x^2),x, algorithm=""maxima"")","x \log\left(-a^{2} + x^{2}\right) + a \log\left(a + x\right) - a \log\left(-a + x\right) - 2 \, x"," ",0,"x*log(-a^2 + x^2) + a*log(a + x) - a*log(-a + x) - 2*x","A",0
75,0,0,0,0.000000," ","integrate(log(log(log(log(x)))),x, algorithm=""maxima"")","x \log\left(\log\left(\log\left(\log\left(x\right)\right)\right)\right) - \int \frac{1}{\log\left(x\right) \log\left(\log\left(x\right)\right) \log\left(\log\left(\log\left(x\right)\right)\right)}\,{d x}"," ",0,"x*log(log(log(log(x)))) - integrate(1/(log(x)*log(log(x))*log(log(log(x)))), x)","F",0
76,1,4,0,0.423936," ","integrate(sin(x),x, algorithm=""maxima"")","-\cos\left(x\right)"," ",0,"-cos(x)","A",0
77,1,2,0,0.413619," ","integrate(cos(x),x, algorithm=""maxima"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
78,1,3,0,0.429250," ","integrate(tan(x),x, algorithm=""maxima"")","\log\left(\sec\left(x\right)\right)"," ",0,"log(sec(x))","A",0
79,1,3,0,0.417338," ","integrate(1/tan(x),x, algorithm=""maxima"")","\log\left(\sin\left(x\right)\right)"," ",0,"log(sin(x))","A",0
80,1,25,0,0.960642," ","integrate(1/(1+tan(x))^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(\tan\left(x\right) + 1\right)}} - \frac{1}{4} \, \log\left(\tan\left(x\right)^{2} + 1\right) + \frac{1}{2} \, \log\left(\tan\left(x\right) + 1\right)"," ",0,"-1/2/(tan(x) + 1) - 1/4*log(tan(x)^2 + 1) + 1/2*log(tan(x) + 1)","A",0
81,1,15,0,0.415761," ","integrate(1/cos(x),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(\sin\left(x\right) + 1\right) - \frac{1}{2} \, \log\left(\sin\left(x\right) - 1\right)"," ",0,"1/2*log(sin(x) + 1) - 1/2*log(sin(x) - 1)","B",0
82,1,15,0,0.415478," ","integrate(1/sin(x),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(\cos\left(x\right) + 1\right) + \frac{1}{2} \, \log\left(\cos\left(x\right) - 1\right)"," ",0,"-1/2*log(cos(x) + 1) + 1/2*log(cos(x) - 1)","B",0
83,1,10,0,0.432067," ","integrate(sin(x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x - \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x - 1/4*sin(2*x)","A",0
84,1,16,0,0.423375," ","integrate(x^3*sin(x^2),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} \cos\left(x^{2}\right) + \frac{1}{2} \, \sin\left(x^{2}\right)"," ",0,"-1/2*x^2*cos(x^2) + 1/2*sin(x^2)","A",0
85,1,11,0,0.412138," ","integrate(sin(x)^3,x, algorithm=""maxima"")","\frac{1}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"1/3*cos(x)^3 - cos(x)","A",0
86,0,0,0,0.000000," ","integrate(sin(x)^p,x, algorithm=""maxima"")","\int \sin\left(x\right)^{p}\,{d x}"," ",0,"integrate(sin(x)^p, x)","F",0
87,1,15,0,0.414869," ","integrate(cos(x)*(1+sin(x)^2)^2,x, algorithm=""maxima"")","\frac{1}{5} \, \sin\left(x\right)^{5} + \frac{2}{3} \, \sin\left(x\right)^{3} + \sin\left(x\right)"," ",0,"1/5*sin(x)^5 + 2/3*sin(x)^3 + sin(x)","A",0
88,1,10,0,0.418141," ","integrate(cos(x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x + 1/4*sin(2*x)","A",0
89,1,9,0,0.411922," ","integrate(cos(x)^3,x, algorithm=""maxima"")","-\frac{1}{3} \, \sin\left(x\right)^{3} + \sin\left(x\right)"," ",0,"-1/3*sin(x)^3 + sin(x)","A",0
90,1,2,0,0.417715," ","integrate(1/cos(x)^2,x, algorithm=""maxima"")","\tan\left(x\right)"," ",0,"tan(x)","A",0
91,1,11,0,0.415233," ","integrate(sin(x)*sin(2*x),x, algorithm=""maxima"")","-\frac{1}{6} \, \sin\left(3 \, x\right) + \frac{1}{2} \, \sin\left(x\right)"," ",0,"-1/6*sin(3*x) + 1/2*sin(x)","A",0
92,1,8,0,0.422389," ","integrate(x*sin(x),x, algorithm=""maxima"")","-x \cos\left(x\right) + \sin\left(x\right)"," ",0,"-x*cos(x) + sin(x)","A",0
93,1,15,0,0.427039," ","integrate(x^2*sin(x),x, algorithm=""maxima"")","-{\left(x^{2} - 2\right)} \cos\left(x\right) + 2 \, x \sin\left(x\right)"," ",0,"-(x^2 - 2)*cos(x) + 2*x*sin(x)","A",0
94,1,19,0,0.421324," ","integrate(x*sin(x)^2,x, algorithm=""maxima"")","\frac{1}{4} \, x^{2} - \frac{1}{4} \, x \sin\left(2 \, x\right) - \frac{1}{8} \, \cos\left(2 \, x\right)"," ",0,"1/4*x^2 - 1/4*x*sin(2*x) - 1/8*cos(2*x)","A",0
95,1,26,0,0.426886," ","integrate(x^2*sin(x)^2,x, algorithm=""maxima"")","\frac{1}{6} \, x^{3} - \frac{1}{4} \, x \cos\left(2 \, x\right) - \frac{1}{8} \, {\left(2 \, x^{2} - 1\right)} \sin\left(2 \, x\right)"," ",0,"1/6*x^3 - 1/4*x*cos(2*x) - 1/8*(2*x^2 - 1)*sin(2*x)","A",0
96,1,23,0,0.422450," ","integrate(x*sin(x)^3,x, algorithm=""maxima"")","\frac{1}{12} \, x \cos\left(3 \, x\right) - \frac{3}{4} \, x \cos\left(x\right) - \frac{1}{36} \, \sin\left(3 \, x\right) + \frac{3}{4} \, \sin\left(x\right)"," ",0,"1/12*x*cos(3*x) - 3/4*x*cos(x) - 1/36*sin(3*x) + 3/4*sin(x)","A",0
97,1,7,0,0.417915," ","integrate(x*cos(x),x, algorithm=""maxima"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
98,1,14,0,0.428034," ","integrate(x^2*cos(x),x, algorithm=""maxima"")","2 \, x \cos\left(x\right) + {\left(x^{2} - 2\right)} \sin\left(x\right)"," ",0,"2*x*cos(x) + (x^2 - 2)*sin(x)","A",0
99,1,19,0,0.423943," ","integrate(x*cos(x)^2,x, algorithm=""maxima"")","\frac{1}{4} \, x^{2} + \frac{1}{4} \, x \sin\left(2 \, x\right) + \frac{1}{8} \, \cos\left(2 \, x\right)"," ",0,"1/4*x^2 + 1/4*x*sin(2*x) + 1/8*cos(2*x)","A",0
100,1,26,0,0.421219," ","integrate(x^2*cos(x)^2,x, algorithm=""maxima"")","\frac{1}{6} \, x^{3} + \frac{1}{4} \, x \cos\left(2 \, x\right) + \frac{1}{8} \, {\left(2 \, x^{2} - 1\right)} \sin\left(2 \, x\right)"," ",0,"1/6*x^3 + 1/4*x*cos(2*x) + 1/8*(2*x^2 - 1)*sin(2*x)","A",0
101,1,23,0,0.422014," ","integrate(x*cos(x)^3,x, algorithm=""maxima"")","\frac{1}{12} \, x \sin\left(3 \, x\right) + \frac{3}{4} \, x \sin\left(x\right) + \frac{1}{36} \, \cos\left(3 \, x\right) + \frac{3}{4} \, \cos\left(x\right)"," ",0,"1/12*x*sin(3*x) + 3/4*x*sin(x) + 1/36*cos(3*x) + 3/4*cos(x)","A",0
102,1,13,0,0.569356," ","integrate(sin(x)/x,x, algorithm=""maxima"")","-\frac{1}{2} i \, {\rm Ei}\left(i \, x\right) + \frac{1}{2} i \, {\rm Ei}\left(-i \, x\right)"," ",0,"-1/2*I*Ei(I*x) + 1/2*I*Ei(-I*x)","C",0
103,1,13,0,0.566059," ","integrate(cos(x)/x,x, algorithm=""maxima"")","\frac{1}{2} \, {\rm Ei}\left(i \, x\right) + \frac{1}{2} \, {\rm Ei}\left(-i \, x\right)"," ",0,"1/2*Ei(I*x) + 1/2*Ei(-I*x)","C",0
104,1,15,0,0.553009," ","integrate(sin(x)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, \Gamma\left(-1, i \, x\right) + \frac{1}{2} \, \Gamma\left(-1, -i \, x\right)"," ",0,"1/2*gamma(-1, I*x) + 1/2*gamma(-1, -I*x)","C",0
105,1,17,0,0.563197," ","integrate(sin(x)^2/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\rm Ei}\left(2 i \, x\right) - \frac{1}{4} \, {\rm Ei}\left(-2 i \, x\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-1/4*Ei(2*I*x) - 1/4*Ei(-2*I*x) + 1/2*log(x)","C",0
106,1,20,0,0.439499," ","integrate(tan(x)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(\sin\left(x\right)^{2} - 1\right)}} + \frac{1}{2} \, \log\left(\sin\left(x\right)^{2} - 1\right)"," ",0,"-1/2/(sin(x)^2 - 1) + 1/2*log(sin(x)^2 - 1)","A",0
107,1,11,0,0.413110," ","integrate(sin(b*x+a),x, algorithm=""maxima"")","-\frac{\cos\left(b x + a\right)}{b}"," ",0,"-cos(b*x + a)/b","A",0
108,1,10,0,0.413507," ","integrate(cos(b*x+a),x, algorithm=""maxima"")","\frac{\sin\left(b x + a\right)}{b}"," ",0,"sin(b*x + a)/b","A",0
109,1,11,0,0.416445," ","integrate(tan(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(\sec\left(b x + a\right)\right)}{b}"," ",0,"log(sec(b*x + a))/b","A",0
110,1,11,0,0.418517," ","integrate(1/tan(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(\sin\left(b x + a\right)\right)}{b}"," ",0,"log(sin(b*x + a))/b","A",0
111,1,26,0,0.421891," ","integrate(1/sin(b*x+a),x, algorithm=""maxima"")","-\frac{\log\left(\cos\left(b x + a\right) + 1\right) - \log\left(\cos\left(b x + a\right) - 1\right)}{2 \, b}"," ",0,"-1/2*(log(cos(b*x + a) + 1) - log(cos(b*x + a) - 1))/b","B",0
112,1,26,0,0.414601," ","integrate(1/cos(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(\sin\left(b x + a\right) + 1\right) - \log\left(\sin\left(b x + a\right) - 1\right)}{2 \, b}"," ",0,"1/2*(log(sin(b*x + a) + 1) - log(sin(b*x + a) - 1))/b","B",0
113,1,24,0,0.418314," ","integrate(sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, b x + 2 \, a - \sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"1/4*(2*b*x + 2*a - sin(2*b*x + 2*a))/b","A",0
114,1,22,0,0.417051," ","integrate(sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\cos\left(b x + a\right)^{3} - 3 \, \cos\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(cos(b*x + a)^3 - 3*cos(b*x + a))/b","A",0
115,1,22,0,0.427741," ","integrate(cos(b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, b x + 2 \, a + \sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"1/4*(2*b*x + 2*a + sin(2*b*x + 2*a))/b","A",0
116,1,22,0,0.420446," ","integrate(cos(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\sin\left(b x + a\right)^{3} - 3 \, \sin\left(b x + a\right)}{3 \, b}"," ",0,"-1/3*(sin(b*x + a)^3 - 3*sin(b*x + a))/b","A",0
117,1,10,0,0.419948," ","integrate(1/cos(b*x+a)^2,x, algorithm=""maxima"")","\frac{\tan\left(b x + a\right)}{b}"," ",0,"tan(b*x + a)/b","A",0
118,1,9,0,0.413395," ","integrate(1/(1+cos(x)),x, algorithm=""maxima"")","\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}"," ",0,"sin(x)/(cos(x) + 1)","A",0
119,1,10,0,0.416658," ","integrate(1/(1-cos(x)),x, algorithm=""maxima"")","-\frac{\cos\left(x\right) + 1}{\sin\left(x\right)}"," ",0,"-(cos(x) + 1)/sin(x)","A",0
120,1,15,0,0.416204," ","integrate(1/(1+sin(x)),x, algorithm=""maxima"")","-\frac{2}{\frac{\sin\left(x\right)}{\cos\left(x\right) + 1} + 1}"," ",0,"-2/(sin(x)/(cos(x) + 1) + 1)","A",0
121,1,15,0,0.417045," ","integrate(1/(1-sin(x)),x, algorithm=""maxima"")","-\frac{2}{\frac{\sin\left(x\right)}{\cos\left(x\right) + 1} - 1}"," ",0,"-2/(sin(x)/(cos(x) + 1) - 1)","A",0
122,-2,0,0,0.000000," ","integrate(1/(a+b*sin(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
123,-2,0,0,0.000000," ","integrate(1/(a+cos(x)+b*sin(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b^2-a^2+1>0)', see `assume?` for more details)Is b^2-a^2+1 positive or negative?","F(-2)",0
124,1,117,0,0.438893," ","integrate(x^2*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{4 \, {\left(b x + a\right)}^{3} + 6 \, {\left(2 \, b x + 2 \, a - \sin\left(2 \, b x + 2 \, a\right)\right)} a^{2} - 6 \, {\left(2 \, {\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} \sin\left(2 \, b x + 2 \, a\right) - \cos\left(2 \, b x + 2 \, a\right)\right)} a - 6 \, {\left(b x + a\right)} \cos\left(2 \, b x + 2 \, a\right) - 3 \, {\left(2 \, {\left(b x + a\right)}^{2} - 1\right)} \sin\left(2 \, b x + 2 \, a\right)}{24 \, b^{3}}"," ",0,"1/24*(4*(b*x + a)^3 + 6*(2*b*x + 2*a - sin(2*b*x + 2*a))*a^2 - 6*(2*(b*x + a)^2 - 2*(b*x + a)*sin(2*b*x + 2*a) - cos(2*b*x + 2*a))*a - 6*(b*x + a)*cos(2*b*x + 2*a) - 3*(2*(b*x + a)^2 - 1)*sin(2*b*x + 2*a))/b^3","A",0
125,1,11,0,0.439512," ","integrate(cos(x)*cos(2*x),x, algorithm=""maxima"")","\frac{1}{6} \, \sin\left(3 \, x\right) + \frac{1}{2} \, \sin\left(x\right)"," ",0,"1/6*sin(3*x) + 1/2*sin(x)","A",0
126,1,113,0,0.458958," ","integrate(x^2*cos(b*x+a)^2,x, algorithm=""maxima"")","\frac{4 \, {\left(b x + a\right)}^{3} + 6 \, {\left(2 \, b x + 2 \, a + \sin\left(2 \, b x + 2 \, a\right)\right)} a^{2} - 6 \, {\left(2 \, {\left(b x + a\right)}^{2} + 2 \, {\left(b x + a\right)} \sin\left(2 \, b x + 2 \, a\right) + \cos\left(2 \, b x + 2 \, a\right)\right)} a + 6 \, {\left(b x + a\right)} \cos\left(2 \, b x + 2 \, a\right) + 3 \, {\left(2 \, {\left(b x + a\right)}^{2} - 1\right)} \sin\left(2 \, b x + 2 \, a\right)}{24 \, b^{3}}"," ",0,"1/24*(4*(b*x + a)^3 + 6*(2*b*x + 2*a + sin(2*b*x + 2*a))*a^2 - 6*(2*(b*x + a)^2 + 2*(b*x + a)*sin(2*b*x + 2*a) + cos(2*b*x + 2*a))*a + 6*(b*x + a)*cos(2*b*x + 2*a) + 3*(2*(b*x + a)^2 - 1)*sin(2*b*x + 2*a))/b^3","A",0
127,1,14,0,0.414795," ","integrate(1/tan(x)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, \sin\left(x\right)^{2}} - \frac{1}{2} \, \log\left(\sin\left(x\right)^{2}\right)"," ",0,"-1/2/sin(x)^2 - 1/2*log(sin(x)^2)","A",0
128,1,485,0,1.258076," ","integrate(x^3*tan(x)^4,x, algorithm=""maxima"")","-\frac{3 i \, x^{4} + {\left(48 \, x^{2} + 12 \, {\left(4 \, x^{2} - 1\right)} \cos\left(6 \, x\right) + 36 \, {\left(4 \, x^{2} - 1\right)} \cos\left(4 \, x\right) + 36 \, {\left(4 \, x^{2} - 1\right)} \cos\left(2 \, x\right) + {\left(48 i \, x^{2} - 12 i\right)} \sin\left(6 \, x\right) + {\left(144 i \, x^{2} - 36 i\right)} \sin\left(4 \, x\right) + {\left(144 i \, x^{2} - 36 i\right)} \sin\left(2 \, x\right) - 12\right)} \arctan\left(\sin\left(2 \, x\right), \cos\left(2 \, x\right) + 1\right) + {\left(3 i \, x^{4} - 32 \, x^{3} + 24 \, x\right)} \cos\left(6 \, x\right) + {\left(9 i \, x^{4} - 48 \, x^{3} - 24 i \, x^{2} + 48 \, x\right)} \cos\left(4 \, x\right) + {\left(9 i \, x^{4} - 48 \, x^{3} - 24 i \, x^{2} + 24 \, x\right)} \cos\left(2 \, x\right) - {\left(48 \, x \cos\left(6 \, x\right) + 144 \, x \cos\left(4 \, x\right) + 144 \, x \cos\left(2 \, x\right) + 48 i \, x \sin\left(6 \, x\right) + 144 i \, x \sin\left(4 \, x\right) + 144 i \, x \sin\left(2 \, x\right) + 48 \, x\right)} {\rm Li}_2\left(-e^{\left(2 i \, x\right)}\right) + {\left(-24 i \, x^{2} + {\left(-24 i \, x^{2} + 6 i\right)} \cos\left(6 \, x\right) + {\left(-72 i \, x^{2} + 18 i\right)} \cos\left(4 \, x\right) + {\left(-72 i \, x^{2} + 18 i\right)} \cos\left(2 \, x\right) + 6 \, {\left(4 \, x^{2} - 1\right)} \sin\left(6 \, x\right) + 18 \, {\left(4 \, x^{2} - 1\right)} \sin\left(4 \, x\right) + 18 \, {\left(4 \, x^{2} - 1\right)} \sin\left(2 \, x\right) + 6 i\right)} \log\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right) + {\left(-24 i \, \cos\left(6 \, x\right) - 72 i \, \cos\left(4 \, x\right) - 72 i \, \cos\left(2 \, x\right) + 24 \, \sin\left(6 \, x\right) + 72 \, \sin\left(4 \, x\right) + 72 \, \sin\left(2 \, x\right) - 24 i\right)} {\rm Li}_{3}(-e^{\left(2 i \, x\right)}) - {\left(3 \, x^{4} + 32 i \, x^{3} - 24 i \, x\right)} \sin\left(6 \, x\right) - {\left(9 \, x^{4} + 48 i \, x^{3} - 24 \, x^{2} - 48 i \, x\right)} \sin\left(4 \, x\right) - {\left(9 \, x^{4} + 48 i \, x^{3} - 24 \, x^{2} - 24 i \, x\right)} \sin\left(2 \, x\right)}{-12 i \, \cos\left(6 \, x\right) - 36 i \, \cos\left(4 \, x\right) - 36 i \, \cos\left(2 \, x\right) + 12 \, \sin\left(6 \, x\right) + 36 \, \sin\left(4 \, x\right) + 36 \, \sin\left(2 \, x\right) - 12 i}"," ",0,"-(3*I*x^4 + (48*x^2 + 12*(4*x^2 - 1)*cos(6*x) + 36*(4*x^2 - 1)*cos(4*x) + 36*(4*x^2 - 1)*cos(2*x) + (48*I*x^2 - 12*I)*sin(6*x) + (144*I*x^2 - 36*I)*sin(4*x) + (144*I*x^2 - 36*I)*sin(2*x) - 12)*arctan2(sin(2*x), cos(2*x) + 1) + (3*I*x^4 - 32*x^3 + 24*x)*cos(6*x) + (9*I*x^4 - 48*x^3 - 24*I*x^2 + 48*x)*cos(4*x) + (9*I*x^4 - 48*x^3 - 24*I*x^2 + 24*x)*cos(2*x) - (48*x*cos(6*x) + 144*x*cos(4*x) + 144*x*cos(2*x) + 48*I*x*sin(6*x) + 144*I*x*sin(4*x) + 144*I*x*sin(2*x) + 48*x)*dilog(-e^(2*I*x)) + (-24*I*x^2 + (-24*I*x^2 + 6*I)*cos(6*x) + (-72*I*x^2 + 18*I)*cos(4*x) + (-72*I*x^2 + 18*I)*cos(2*x) + 6*(4*x^2 - 1)*sin(6*x) + 18*(4*x^2 - 1)*sin(4*x) + 18*(4*x^2 - 1)*sin(2*x) + 6*I)*log(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1) + (-24*I*cos(6*x) - 72*I*cos(4*x) - 72*I*cos(2*x) + 24*sin(6*x) + 72*sin(4*x) + 72*sin(2*x) - 24*I)*polylog(3, -e^(2*I*x)) - (3*x^4 + 32*I*x^3 - 24*I*x)*sin(6*x) - (9*x^4 + 48*I*x^3 - 24*x^2 - 48*I*x)*sin(4*x) - (9*x^4 + 48*I*x^3 - 24*x^2 - 24*I*x)*sin(2*x))/(-12*I*cos(6*x) - 36*I*cos(4*x) - 36*I*cos(2*x) + 12*sin(6*x) + 36*sin(4*x) + 36*sin(2*x) - 12*I)","B",0
129,1,766,0,2.588633," ","integrate(x^3*tan(x)^6,x, algorithm=""maxima"")","\frac{15 i \, x^{4} + {\left(276 \, x^{2} + 12 \, {\left(23 \, x^{2} - 10\right)} \cos\left(10 \, x\right) + 60 \, {\left(23 \, x^{2} - 10\right)} \cos\left(8 \, x\right) + 120 \, {\left(23 \, x^{2} - 10\right)} \cos\left(6 \, x\right) + 120 \, {\left(23 \, x^{2} - 10\right)} \cos\left(4 \, x\right) + 60 \, {\left(23 \, x^{2} - 10\right)} \cos\left(2 \, x\right) + {\left(276 i \, x^{2} - 120 i\right)} \sin\left(10 \, x\right) + {\left(1380 i \, x^{2} - 600 i\right)} \sin\left(8 \, x\right) + {\left(2760 i \, x^{2} - 1200 i\right)} \sin\left(6 \, x\right) + {\left(2760 i \, x^{2} - 1200 i\right)} \sin\left(4 \, x\right) + {\left(1380 i \, x^{2} - 600 i\right)} \sin\left(2 \, x\right) - 120\right)} \arctan\left(\sin\left(2 \, x\right), \cos\left(2 \, x\right) + 1\right) + {\left(15 i \, x^{4} - 184 \, x^{3} + 240 \, x\right)} \cos\left(10 \, x\right) + {\left(75 i \, x^{4} - 560 \, x^{3} - 264 i \, x^{2} + 936 \, x + 12 i\right)} \cos\left(8 \, x\right) + {\left(150 i \, x^{4} - 1120 \, x^{3} - 648 i \, x^{2} + 1416 \, x + 36 i\right)} \cos\left(6 \, x\right) + {\left(150 i \, x^{4} - 720 \, x^{3} - 648 i \, x^{2} + 984 \, x + 36 i\right)} \cos\left(4 \, x\right) + {\left(75 i \, x^{4} - 360 \, x^{3} - 264 i \, x^{2} + 264 \, x + 12 i\right)} \cos\left(2 \, x\right) - {\left(276 \, x \cos\left(10 \, x\right) + 1380 \, x \cos\left(8 \, x\right) + 2760 \, x \cos\left(6 \, x\right) + 2760 \, x \cos\left(4 \, x\right) + 1380 \, x \cos\left(2 \, x\right) + 276 i \, x \sin\left(10 \, x\right) + 1380 i \, x \sin\left(8 \, x\right) + 2760 i \, x \sin\left(6 \, x\right) + 2760 i \, x \sin\left(4 \, x\right) + 1380 i \, x \sin\left(2 \, x\right) + 276 \, x\right)} {\rm Li}_2\left(-e^{\left(2 i \, x\right)}\right) + {\left(-138 i \, x^{2} + {\left(-138 i \, x^{2} + 60 i\right)} \cos\left(10 \, x\right) + {\left(-690 i \, x^{2} + 300 i\right)} \cos\left(8 \, x\right) + {\left(-1380 i \, x^{2} + 600 i\right)} \cos\left(6 \, x\right) + {\left(-1380 i \, x^{2} + 600 i\right)} \cos\left(4 \, x\right) + {\left(-690 i \, x^{2} + 300 i\right)} \cos\left(2 \, x\right) + 6 \, {\left(23 \, x^{2} - 10\right)} \sin\left(10 \, x\right) + 30 \, {\left(23 \, x^{2} - 10\right)} \sin\left(8 \, x\right) + 60 \, {\left(23 \, x^{2} - 10\right)} \sin\left(6 \, x\right) + 60 \, {\left(23 \, x^{2} - 10\right)} \sin\left(4 \, x\right) + 30 \, {\left(23 \, x^{2} - 10\right)} \sin\left(2 \, x\right) + 60 i\right)} \log\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right) + {\left(-138 i \, \cos\left(10 \, x\right) - 690 i \, \cos\left(8 \, x\right) - 1380 i \, \cos\left(6 \, x\right) - 1380 i \, \cos\left(4 \, x\right) - 690 i \, \cos\left(2 \, x\right) + 138 \, \sin\left(10 \, x\right) + 690 \, \sin\left(8 \, x\right) + 1380 \, \sin\left(6 \, x\right) + 1380 \, \sin\left(4 \, x\right) + 690 \, \sin\left(2 \, x\right) - 138 i\right)} {\rm Li}_{3}(-e^{\left(2 i \, x\right)}) - {\left(15 \, x^{4} + 184 i \, x^{3} - 240 i \, x\right)} \sin\left(10 \, x\right) - {\left(75 \, x^{4} + 560 i \, x^{3} - 264 \, x^{2} - 936 i \, x + 12\right)} \sin\left(8 \, x\right) - {\left(150 \, x^{4} + 1120 i \, x^{3} - 648 \, x^{2} - 1416 i \, x + 36\right)} \sin\left(6 \, x\right) - {\left(150 \, x^{4} + 720 i \, x^{3} - 648 \, x^{2} - 984 i \, x + 36\right)} \sin\left(4 \, x\right) - {\left(75 \, x^{4} + 360 i \, x^{3} - 264 \, x^{2} - 264 i \, x + 12\right)} \sin\left(2 \, x\right)}{-60 i \, \cos\left(10 \, x\right) - 300 i \, \cos\left(8 \, x\right) - 600 i \, \cos\left(6 \, x\right) - 600 i \, \cos\left(4 \, x\right) - 300 i \, \cos\left(2 \, x\right) + 60 \, \sin\left(10 \, x\right) + 300 \, \sin\left(8 \, x\right) + 600 \, \sin\left(6 \, x\right) + 600 \, \sin\left(4 \, x\right) + 300 \, \sin\left(2 \, x\right) - 60 i}"," ",0,"(15*I*x^4 + (276*x^2 + 12*(23*x^2 - 10)*cos(10*x) + 60*(23*x^2 - 10)*cos(8*x) + 120*(23*x^2 - 10)*cos(6*x) + 120*(23*x^2 - 10)*cos(4*x) + 60*(23*x^2 - 10)*cos(2*x) + (276*I*x^2 - 120*I)*sin(10*x) + (1380*I*x^2 - 600*I)*sin(8*x) + (2760*I*x^2 - 1200*I)*sin(6*x) + (2760*I*x^2 - 1200*I)*sin(4*x) + (1380*I*x^2 - 600*I)*sin(2*x) - 120)*arctan2(sin(2*x), cos(2*x) + 1) + (15*I*x^4 - 184*x^3 + 240*x)*cos(10*x) + (75*I*x^4 - 560*x^3 - 264*I*x^2 + 936*x + 12*I)*cos(8*x) + (150*I*x^4 - 1120*x^3 - 648*I*x^2 + 1416*x + 36*I)*cos(6*x) + (150*I*x^4 - 720*x^3 - 648*I*x^2 + 984*x + 36*I)*cos(4*x) + (75*I*x^4 - 360*x^3 - 264*I*x^2 + 264*x + 12*I)*cos(2*x) - (276*x*cos(10*x) + 1380*x*cos(8*x) + 2760*x*cos(6*x) + 2760*x*cos(4*x) + 1380*x*cos(2*x) + 276*I*x*sin(10*x) + 1380*I*x*sin(8*x) + 2760*I*x*sin(6*x) + 2760*I*x*sin(4*x) + 1380*I*x*sin(2*x) + 276*x)*dilog(-e^(2*I*x)) + (-138*I*x^2 + (-138*I*x^2 + 60*I)*cos(10*x) + (-690*I*x^2 + 300*I)*cos(8*x) + (-1380*I*x^2 + 600*I)*cos(6*x) + (-1380*I*x^2 + 600*I)*cos(4*x) + (-690*I*x^2 + 300*I)*cos(2*x) + 6*(23*x^2 - 10)*sin(10*x) + 30*(23*x^2 - 10)*sin(8*x) + 60*(23*x^2 - 10)*sin(6*x) + 60*(23*x^2 - 10)*sin(4*x) + 30*(23*x^2 - 10)*sin(2*x) + 60*I)*log(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1) + (-138*I*cos(10*x) - 690*I*cos(8*x) - 1380*I*cos(6*x) - 1380*I*cos(4*x) - 690*I*cos(2*x) + 138*sin(10*x) + 690*sin(8*x) + 1380*sin(6*x) + 1380*sin(4*x) + 690*sin(2*x) - 138*I)*polylog(3, -e^(2*I*x)) - (15*x^4 + 184*I*x^3 - 240*I*x)*sin(10*x) - (75*x^4 + 560*I*x^3 - 264*x^2 - 936*I*x + 12)*sin(8*x) - (150*x^4 + 1120*I*x^3 - 648*x^2 - 1416*I*x + 36)*sin(6*x) - (150*x^4 + 720*I*x^3 - 648*x^2 - 984*I*x + 36)*sin(4*x) - (75*x^4 + 360*I*x^3 - 264*x^2 - 264*I*x + 12)*sin(2*x))/(-60*I*cos(10*x) - 300*I*cos(8*x) - 600*I*cos(6*x) - 600*I*cos(4*x) - 300*I*cos(2*x) + 60*sin(10*x) + 300*sin(8*x) + 600*sin(6*x) + 600*sin(4*x) + 300*sin(2*x) - 60*I)","B",0
130,1,107,0,0.978965," ","integrate(x*tan(x)^2,x, algorithm=""maxima"")","-\frac{x^{2} \cos\left(2 \, x\right)^{2} + x^{2} \sin\left(2 \, x\right)^{2} + 2 \, x^{2} \cos\left(2 \, x\right) + x^{2} - {\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right)} \log\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right) - 4 \, x \sin\left(2 \, x\right)}{2 \, {\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right)}}"," ",0,"-1/2*(x^2*cos(2*x)^2 + x^2*sin(2*x)^2 + 2*x^2*cos(2*x) + x^2 - (cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1)*log(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1) - 4*x*sin(2*x))/(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1)","B",0
131,1,11,0,0.413930," ","integrate(cos(3*x)*sin(2*x),x, algorithm=""maxima"")","-\frac{1}{10} \, \cos\left(5 \, x\right) + \frac{1}{2} \, \cos\left(x\right)"," ",0,"-1/10*cos(5*x) + 1/2*cos(x)","A",0
132,1,10,0,0.415029," ","integrate(cos(x)^2*sin(x)^2,x, algorithm=""maxima"")","\frac{1}{8} \, x - \frac{1}{32} \, \sin\left(4 \, x\right)"," ",0,"1/8*x - 1/32*sin(4*x)","A",0
133,1,9,0,0.415622," ","integrate(1/cos(x)^2/sin(x)^2,x, algorithm=""maxima"")","-\frac{1}{\tan\left(x\right)} + \tan\left(x\right)"," ",0,"-1/tan(x) + tan(x)","A",0
134,1,25,0,0.430274," ","integrate(d^x*sin(x),x, algorithm=""maxima"")","\frac{d^{x} \log\left(d\right) \sin\left(x\right) - d^{x} \cos\left(x\right)}{\log\left(d\right)^{2} + 1}"," ",0,"(d^x*log(d)*sin(x) - d^x*cos(x))/(log(d)^2 + 1)","A",0
135,1,24,0,0.432683," ","integrate(d^x*cos(x),x, algorithm=""maxima"")","\frac{d^{x} \cos\left(x\right) \log\left(d\right) + d^{x} \sin\left(x\right)}{\log\left(d\right)^{2} + 1}"," ",0,"(d^x*cos(x)*log(d) + d^x*sin(x))/(log(d)^2 + 1)","A",0
136,1,60,0,0.486374," ","integrate(d^x*x*sin(x),x, algorithm=""maxima"")","-\frac{{\left({\left(\log\left(d\right)^{2} + 1\right)} x - 2 \, \log\left(d\right)\right)} d^{x} \cos\left(x\right) - {\left({\left(\log\left(d\right)^{3} + \log\left(d\right)\right)} x - \log\left(d\right)^{2} + 1\right)} d^{x} \sin\left(x\right)}{\log\left(d\right)^{4} + 2 \, \log\left(d\right)^{2} + 1}"," ",0,"-(((log(d)^2 + 1)*x - 2*log(d))*d^x*cos(x) - ((log(d)^3 + log(d))*x - log(d)^2 + 1)*d^x*sin(x))/(log(d)^4 + 2*log(d)^2 + 1)","A",0
137,1,58,0,0.465806," ","integrate(d^x*x*cos(x),x, algorithm=""maxima"")","\frac{{\left({\left(\log\left(d\right)^{3} + \log\left(d\right)\right)} x - \log\left(d\right)^{2} + 1\right)} d^{x} \cos\left(x\right) + {\left({\left(\log\left(d\right)^{2} + 1\right)} x - 2 \, \log\left(d\right)\right)} d^{x} \sin\left(x\right)}{\log\left(d\right)^{4} + 2 \, \log\left(d\right)^{2} + 1}"," ",0,"(((log(d)^3 + log(d))*x - log(d)^2 + 1)*d^x*cos(x) + ((log(d)^2 + 1)*x - 2*log(d))*d^x*sin(x))/(log(d)^4 + 2*log(d)^2 + 1)","A",0
138,1,107,0,0.524272," ","integrate(d^x*x^2*sin(x),x, algorithm=""maxima"")","-\frac{{\left({\left(\log\left(d\right)^{4} + 2 \, \log\left(d\right)^{2} + 1\right)} x^{2} - 4 \, {\left(\log\left(d\right)^{3} + \log\left(d\right)\right)} x + 6 \, \log\left(d\right)^{2} - 2\right)} d^{x} \cos\left(x\right) - {\left({\left(\log\left(d\right)^{5} + 2 \, \log\left(d\right)^{3} + \log\left(d\right)\right)} x^{2} + 2 \, \log\left(d\right)^{3} - 2 \, {\left(\log\left(d\right)^{4} - 1\right)} x - 6 \, \log\left(d\right)\right)} d^{x} \sin\left(x\right)}{\log\left(d\right)^{6} + 3 \, \log\left(d\right)^{4} + 3 \, \log\left(d\right)^{2} + 1}"," ",0,"-(((log(d)^4 + 2*log(d)^2 + 1)*x^2 - 4*(log(d)^3 + log(d))*x + 6*log(d)^2 - 2)*d^x*cos(x) - ((log(d)^5 + 2*log(d)^3 + log(d))*x^2 + 2*log(d)^3 - 2*(log(d)^4 - 1)*x - 6*log(d))*d^x*sin(x))/(log(d)^6 + 3*log(d)^4 + 3*log(d)^2 + 1)","A",0
139,1,105,0,0.515001," ","integrate(d^x*x^2*cos(x),x, algorithm=""maxima"")","\frac{{\left({\left(\log\left(d\right)^{5} + 2 \, \log\left(d\right)^{3} + \log\left(d\right)\right)} x^{2} + 2 \, \log\left(d\right)^{3} - 2 \, {\left(\log\left(d\right)^{4} - 1\right)} x - 6 \, \log\left(d\right)\right)} d^{x} \cos\left(x\right) + {\left({\left(\log\left(d\right)^{4} + 2 \, \log\left(d\right)^{2} + 1\right)} x^{2} - 4 \, {\left(\log\left(d\right)^{3} + \log\left(d\right)\right)} x + 6 \, \log\left(d\right)^{2} - 2\right)} d^{x} \sin\left(x\right)}{\log\left(d\right)^{6} + 3 \, \log\left(d\right)^{4} + 3 \, \log\left(d\right)^{2} + 1}"," ",0,"(((log(d)^5 + 2*log(d)^3 + log(d))*x^2 + 2*log(d)^3 - 2*(log(d)^4 - 1)*x - 6*log(d))*d^x*cos(x) + ((log(d)^4 + 2*log(d)^2 + 1)*x^2 - 4*(log(d)^3 + log(d))*x + 6*log(d)^2 - 2)*d^x*sin(x))/(log(d)^6 + 3*log(d)^4 + 3*log(d)^2 + 1)","A",0
140,1,186,0,0.578232," ","integrate(d^x*x^3*sin(x),x, algorithm=""maxima"")","-\frac{{\left({\left(\log\left(d\right)^{6} + 3 \, \log\left(d\right)^{4} + 3 \, \log\left(d\right)^{2} + 1\right)} x^{3} - 6 \, {\left(\log\left(d\right)^{5} + 2 \, \log\left(d\right)^{3} + \log\left(d\right)\right)} x^{2} - 24 \, \log\left(d\right)^{3} + 6 \, {\left(3 \, \log\left(d\right)^{4} + 2 \, \log\left(d\right)^{2} - 1\right)} x + 24 \, \log\left(d\right)\right)} d^{x} \cos\left(x\right) - {\left({\left(\log\left(d\right)^{7} + 3 \, \log\left(d\right)^{5} + 3 \, \log\left(d\right)^{3} + \log\left(d\right)\right)} x^{3} - 6 \, \log\left(d\right)^{4} - 3 \, {\left(\log\left(d\right)^{6} + \log\left(d\right)^{4} - \log\left(d\right)^{2} - 1\right)} x^{2} + 6 \, {\left(\log\left(d\right)^{5} - 2 \, \log\left(d\right)^{3} - 3 \, \log\left(d\right)\right)} x + 36 \, \log\left(d\right)^{2} - 6\right)} d^{x} \sin\left(x\right)}{\log\left(d\right)^{8} + 4 \, \log\left(d\right)^{6} + 6 \, \log\left(d\right)^{4} + 4 \, \log\left(d\right)^{2} + 1}"," ",0,"-(((log(d)^6 + 3*log(d)^4 + 3*log(d)^2 + 1)*x^3 - 6*(log(d)^5 + 2*log(d)^3 + log(d))*x^2 - 24*log(d)^3 + 6*(3*log(d)^4 + 2*log(d)^2 - 1)*x + 24*log(d))*d^x*cos(x) - ((log(d)^7 + 3*log(d)^5 + 3*log(d)^3 + log(d))*x^3 - 6*log(d)^4 - 3*(log(d)^6 + log(d)^4 - log(d)^2 - 1)*x^2 + 6*(log(d)^5 - 2*log(d)^3 - 3*log(d))*x + 36*log(d)^2 - 6)*d^x*sin(x))/(log(d)^8 + 4*log(d)^6 + 6*log(d)^4 + 4*log(d)^2 + 1)","A",0
141,1,184,0,0.572384," ","integrate(d^x*x^3*cos(x),x, algorithm=""maxima"")","\frac{{\left({\left(\log\left(d\right)^{7} + 3 \, \log\left(d\right)^{5} + 3 \, \log\left(d\right)^{3} + \log\left(d\right)\right)} x^{3} - 6 \, \log\left(d\right)^{4} - 3 \, {\left(\log\left(d\right)^{6} + \log\left(d\right)^{4} - \log\left(d\right)^{2} - 1\right)} x^{2} + 6 \, {\left(\log\left(d\right)^{5} - 2 \, \log\left(d\right)^{3} - 3 \, \log\left(d\right)\right)} x + 36 \, \log\left(d\right)^{2} - 6\right)} d^{x} \cos\left(x\right) + {\left({\left(\log\left(d\right)^{6} + 3 \, \log\left(d\right)^{4} + 3 \, \log\left(d\right)^{2} + 1\right)} x^{3} - 6 \, {\left(\log\left(d\right)^{5} + 2 \, \log\left(d\right)^{3} + \log\left(d\right)\right)} x^{2} - 24 \, \log\left(d\right)^{3} + 6 \, {\left(3 \, \log\left(d\right)^{4} + 2 \, \log\left(d\right)^{2} - 1\right)} x + 24 \, \log\left(d\right)\right)} d^{x} \sin\left(x\right)}{\log\left(d\right)^{8} + 4 \, \log\left(d\right)^{6} + 6 \, \log\left(d\right)^{4} + 4 \, \log\left(d\right)^{2} + 1}"," ",0,"(((log(d)^7 + 3*log(d)^5 + 3*log(d)^3 + log(d))*x^3 - 6*log(d)^4 - 3*(log(d)^6 + log(d)^4 - log(d)^2 - 1)*x^2 + 6*(log(d)^5 - 2*log(d)^3 - 3*log(d))*x + 36*log(d)^2 - 6)*d^x*cos(x) + ((log(d)^6 + 3*log(d)^4 + 3*log(d)^2 + 1)*x^3 - 6*(log(d)^5 + 2*log(d)^3 + log(d))*x^2 - 24*log(d)^3 + 6*(3*log(d)^4 + 2*log(d)^2 - 1)*x + 24*log(d))*d^x*sin(x))/(log(d)^8 + 4*log(d)^6 + 6*log(d)^4 + 4*log(d)^2 + 1)","A",0
142,1,19,0,0.433312," ","integrate(sin(x)*sin(2*x)*sin(3*x),x, algorithm=""maxima"")","\frac{1}{24} \, \cos\left(6 \, x\right) - \frac{1}{16} \, \cos\left(4 \, x\right) - \frac{1}{8} \, \cos\left(2 \, x\right)"," ",0,"1/24*cos(6*x) - 1/16*cos(4*x) - 1/8*cos(2*x)","A",0
143,1,22,0,0.421667," ","integrate(cos(x)*cos(2*x)*cos(3*x),x, algorithm=""maxima"")","\frac{1}{4} \, x + \frac{1}{24} \, \sin\left(6 \, x\right) + \frac{1}{16} \, \sin\left(4 \, x\right) + \frac{1}{8} \, \sin\left(2 \, x\right)"," ",0,"1/4*x + 1/24*sin(6*x) + 1/16*sin(4*x) + 1/8*sin(2*x)","A",0
144,1,55,0,0.432681," ","integrate(x^2*sin(k*x)^3,x, algorithm=""maxima"")","-\frac{6 \, k x \sin\left(3 \, k x\right) - 162 \, k x \sin\left(k x\right) - {\left(9 \, k^{2} x^{2} - 2\right)} \cos\left(3 \, k x\right) + 81 \, {\left(k^{2} x^{2} - 2\right)} \cos\left(k x\right)}{108 \, k^{3}}"," ",0,"-1/108*(6*k*x*sin(3*k*x) - 162*k*x*sin(k*x) - (9*k^2*x^2 - 2)*cos(3*k*x) + 81*(k^2*x^2 - 2)*cos(k*x))/k^3","A",0
145,1,240,0,0.473911," ","integrate(x*cos(x)*cos(k/sin(x))/sin(x)^2,x, algorithm=""maxima"")","-\frac{{\left(x e^{\left(\frac{4 \, k \cos\left(2 \, x\right) \cos\left(x\right)}{\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} - 2 \, \cos\left(2 \, x\right) + 1} + \frac{4 \, k \sin\left(2 \, x\right) \sin\left(x\right)}{\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} - 2 \, \cos\left(2 \, x\right) + 1}\right)} + x e^{\left(\frac{4 \, k \cos\left(x\right)}{\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} - 2 \, \cos\left(2 \, x\right) + 1}\right)}\right)} e^{\left(-\frac{2 \, k \cos\left(2 \, x\right) \cos\left(x\right)}{\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} - 2 \, \cos\left(2 \, x\right) + 1} - \frac{2 \, k \sin\left(2 \, x\right) \sin\left(x\right)}{\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} - 2 \, \cos\left(2 \, x\right) + 1} - \frac{2 \, k \cos\left(x\right)}{\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} - 2 \, \cos\left(2 \, x\right) + 1}\right)} \sin\left(\frac{2 \, {\left(k \cos\left(x\right) \sin\left(2 \, x\right) - k \cos\left(2 \, x\right) \sin\left(x\right) + k \sin\left(x\right)\right)}}{\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} - 2 \, \cos\left(2 \, x\right) + 1}\right)}{2 \, k}"," ",0,"-1/2*(x*e^(4*k*cos(2*x)*cos(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1) + 4*k*sin(2*x)*sin(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1)) + x*e^(4*k*cos(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1)))*e^(-2*k*cos(2*x)*cos(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1) - 2*k*sin(2*x)*sin(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1) - 2*k*cos(x)/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1))*sin(2*(k*cos(x)*sin(2*x) - k*cos(2*x)*sin(x) + k*sin(x))/(cos(2*x)^2 + sin(2*x)^2 - 2*cos(2*x) + 1))/k","B",0
146,1,41,0,0.432830," ","integrate(cos(x)/sin(x)/tan(1/2*x),x, algorithm=""maxima"")","-\frac{x \cos\left(x\right)^{2} + x \sin\left(x\right)^{2} - 2 \, x \cos\left(x\right) + x + 2 \, \sin\left(x\right)}{\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1}"," ",0,"-(x*cos(x)^2 + x*sin(x)^2 - 2*x*cos(x) + x + 2*sin(x))/(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1)","B",0
147,-2,0,0,0.000000," ","integrate(sin(a*x)/(b+c*sin(a*x))^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*c^2-4*b^2>0)', see `assume?` for more details)Is 4*c^2-4*b^2 positive or negative?","F(-2)",0
148,1,12,0,0.446537," ","integrate(sin(log(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, x {\left(\cos\left(\log\left(x\right)\right) - \sin\left(\log\left(x\right)\right)\right)}"," ",0,"-1/2*x*(cos(log(x)) - sin(log(x)))","A",0
149,1,10,0,0.424102," ","integrate(cos(log(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x {\left(\cos\left(\log\left(x\right)\right) + \sin\left(\log\left(x\right)\right)\right)}"," ",0,"1/2*x*(cos(log(x)) + sin(log(x)))","A",0
150,1,2,0,0.412792," ","integrate(exp(x),x, algorithm=""maxima"")","e^{x}"," ",0,"e^x","A",0
151,1,8,0,0.416632," ","integrate(a^x,x, algorithm=""maxima"")","\frac{a^{x}}{\log\left(a\right)}"," ",0,"a^x/log(a)","A",0
152,1,8,0,0.414346," ","integrate(exp(a*x),x, algorithm=""maxima"")","\frac{e^{\left(a x\right)}}{a}"," ",0,"e^(a*x)/a","A",0
153,1,4,0,0.575987," ","integrate(exp(a*x)/x,x, algorithm=""maxima"")","{\rm Ei}\left(a x\right)"," ",0,"Ei(a*x)","A",0
154,1,23,0,0.424747," ","integrate(1/(a+b*exp(m*x)),x, algorithm=""maxima"")","\frac{x}{a} - \frac{\log\left(b e^{\left(m x\right)} + a\right)}{a m}"," ",0,"x/a - log(b*e^(m*x) + a)/(a*m)","A",0
155,1,10,0,0.416530," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""maxima"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
156,1,14,0,0.421732," ","integrate(exp(a*x+2*x),x, algorithm=""maxima"")","\frac{e^{\left(a x + 2 \, x\right)}}{a + 2}"," ",0,"e^(a*x + 2*x)/(a + 2)","A",0
157,1,23,0,0.993696," ","integrate(1/(b/exp(m*x)+a*exp(m*x)),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{b e^{\left(-m x\right)}}{\sqrt{a b}}\right)}{\sqrt{a b} m}"," ",0,"-arctan(b*e^(-m*x)/sqrt(a*b))/(sqrt(a*b)*m)","A",0
158,1,13,0,0.443133," ","integrate(exp(a*x)*x,x, algorithm=""maxima"")","\frac{{\left(a x - 1\right)} e^{\left(a x\right)}}{a^{2}}"," ",0,"(a*x - 1)*e^(a*x)/a^2","A",0
159,1,101,0,0.423573," ","integrate(exp(x)*x^20,x, algorithm=""maxima"")","{\left(x^{20} - 20 \, x^{19} + 380 \, x^{18} - 6840 \, x^{17} + 116280 \, x^{16} - 1860480 \, x^{15} + 27907200 \, x^{14} - 390700800 \, x^{13} + 5079110400 \, x^{12} - 60949324800 \, x^{11} + 670442572800 \, x^{10} - 6704425728000 \, x^{9} + 60339831552000 \, x^{8} - 482718652416000 \, x^{7} + 3379030566912000 \, x^{6} - 20274183401472000 \, x^{5} + 101370917007360000 \, x^{4} - 405483668029440000 \, x^{3} + 1216451004088320000 \, x^{2} - 2432902008176640000 \, x + 2432902008176640000\right)} e^{x}"," ",0,"(x^20 - 20*x^19 + 380*x^18 - 6840*x^17 + 116280*x^16 - 1860480*x^15 + 27907200*x^14 - 390700800*x^13 + 5079110400*x^12 - 60949324800*x^11 + 670442572800*x^10 - 6704425728000*x^9 + 60339831552000*x^8 - 482718652416000*x^7 + 3379030566912000*x^6 - 20274183401472000*x^5 + 101370917007360000*x^4 - 405483668029440000*x^3 + 1216451004088320000*x^2 - 2432902008176640000*x + 2432902008176640000)*e^x","A",0
160,-2,0,0,0.000000," ","integrate(a^x/(b^x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(-log(b)/log(a)>0)', see `assume?` for more details)Is -log(b)/log(a) equal to -1?","F(-2)",0
161,-2,0,0,0.000000," ","integrate(a^x*b^x,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(log(b)/log(a)>0)', see `assume?` for more details)Is log(b)/log(a) equal to -1?","F(-2)",0
162,1,10,0,0.588934," ","integrate(a^x/x^2,x, algorithm=""maxima"")","\Gamma\left(-1, -x \log\left(a\right)\right) \log\left(a\right)"," ",0,"gamma(-1, -x*log(a))*log(a)","A",0
163,0,0,0,0.000000," ","integrate(a^x*x/(b*x+1)^2,x, algorithm=""maxima"")","\frac{a^{x} x}{b^{2} x^{2} \log\left(a\right) + 2 \, b x \log\left(a\right) + \log\left(a\right)} + \int \frac{{\left(b x - 1\right)} a^{x}}{b^{3} x^{3} \log\left(a\right) + 3 \, b^{2} x^{2} \log\left(a\right) + 3 \, b x \log\left(a\right) + \log\left(a\right)}\,{d x}"," ",0,"a^x*x/(b^2*x^2*log(a) + 2*b*x*log(a) + log(a)) + integrate((b*x - 1)*a^x/(b^3*x^3*log(a) + 3*b^2*x^2*log(a) + 3*b*x*log(a) + log(a)), x)","F",0
164,1,16,0,0.429100," ","integrate(exp(a*x)*x/(a*x+1)^2,x, algorithm=""maxima"")","\frac{e^{\left(a x\right)}}{a^{3} x + a^{2}}"," ",0,"e^(a*x)/(a^3*x + a^2)","A",0
165,1,11,0,0.429745," ","integrate(k^(x^2)*x,x, algorithm=""maxima"")","\frac{k^{\left(x^{2}\right)}}{2 \, \log\left(k\right)}"," ",0,"1/2*k^(x^2)/log(k)","A",0
166,1,9,0,0.420927," ","integrate(exp(x^2),x, algorithm=""maxima"")","-\frac{1}{2} i \, \sqrt{\pi} \operatorname{erf}\left(i \, x\right)"," ",0,"-1/2*I*sqrt(pi)*erf(I*x)","C",0
167,1,6,0,0.416362," ","integrate(exp(x^2)*x,x, algorithm=""maxima"")","\frac{1}{2} \, e^{\left(x^{2}\right)}"," ",0,"1/2*e^(x^2)","A",0
168,1,17,0,0.525750," ","integrate(exp(1/x)*(1+x)/x^4,x, algorithm=""maxima"")","-\Gamma\left(3, -\frac{1}{x}\right) + \Gamma\left(2, -\frac{1}{x}\right)"," ",0,"-gamma(3, -1/x) + gamma(2, -1/x)","C",0
169,1,22,0,0.754603," ","integrate(exp(1-exp(x^2)*x+2*x^2)*(2*x^3+x)/(1-exp(x^2)*x)^2,x, algorithm=""maxima"")","-\frac{e^{\left(-x e^{\left(x^{2}\right)} + 1\right)}}{x e^{\left(x^{2}\right)} - 1}"," ",0,"-e^(-x*e^(x^2) + 1)/(x*e^(x^2) - 1)","A",0
170,0,0,0,0.000000," ","integrate(exp(exp(exp(exp(x)))),x, algorithm=""maxima"")","\int e^{\left(e^{\left(e^{\left(e^{x}\right)}\right)}\right)}\,{d x}"," ",0,"integrate(e^(e^(e^(e^x))), x)","F",0
171,1,10,0,0.528241," ","integrate(exp(x)*log(x),x, algorithm=""maxima"")","e^{x} \log\left(x\right) - {\rm Ei}\left(x\right)"," ",0,"e^x*log(x) - Ei(x)","A",0
172,1,15,0,0.524640," ","integrate(exp(x)*x*log(x),x, algorithm=""maxima"")","{\left(x - 1\right)} e^{x} \log\left(x\right) + {\rm Ei}\left(x\right) - e^{x}"," ",0,"(x - 1)*e^x*log(x) + Ei(x) - e^x","A",0
173,1,11,0,0.436053," ","integrate(exp(2*x)*log(exp(x)),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)}"," ",0,"1/4*(2*x - 1)*e^(2*x)","A",0
174,1,12,0,0.947334," ","integrate(2*x+x^2*2^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{2} x^{3} + x^{2}"," ",0,"1/3*sqrt(2)*x^3 + x^2","A",0
175,1,58,0,0.961782," ","integrate(log(x)/(a*x+b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\sqrt{a x + b} \log\left(x\right) - \sqrt{b} \log\left(\frac{\sqrt{a x + b} - \sqrt{b}}{\sqrt{a x + b} + \sqrt{b}}\right) - 2 \, \sqrt{a x + b}\right)}}{a}"," ",0,"2*(sqrt(a*x + b)*log(x) - sqrt(b)*log((sqrt(a*x + b) - sqrt(b))/(sqrt(a*x + b) + sqrt(b))) - 2*sqrt(a*x + b))/a","A",0
176,-2,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c zero or nonzero?","F(-2)",0
177,1,12,0,0.420003," ","integrate((b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"2/3*(b*x + a)^(3/2)/b","A",0
178,1,26,0,0.423141," ","integrate(x*(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}}}{5 \, b^{2}} - \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} a}{3 \, b^{2}}"," ",0,"2/5*(b*x + a)^(5/2)/b^2 - 2/3*(b*x + a)^(3/2)*a/b^2","A",0
179,1,41,0,0.419510," ","integrate(x^2*(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}}}{7 \, b^{3}} - \frac{4 \, {\left(b x + a\right)}^{\frac{5}{2}} a}{5 \, b^{3}} + \frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}{3 \, b^{3}}"," ",0,"2/7*(b*x + a)^(7/2)/b^3 - 4/5*(b*x + a)^(5/2)*a/b^3 + 2/3*(b*x + a)^(3/2)*a^2/b^3","A",0
180,1,42,0,0.967258," ","integrate((b*x+a)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{a} \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + 2 \, \sqrt{b x + a}"," ",0,"sqrt(a)*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2*sqrt(b*x + a)","A",0
181,1,47,0,0.961449," ","integrate((b*x+a)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{b \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{2 \, \sqrt{a}} - \frac{\sqrt{b x + a}}{x}"," ",0,"1/2*b*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/sqrt(a) - sqrt(b*x + a)/x","A",0
182,1,12,0,0.420068," ","integrate(1/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x + a}}{b}"," ",0,"2*sqrt(b*x + a)/b","A",0
183,1,26,0,0.418612," ","integrate(x/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b^{2}} - \frac{2 \, \sqrt{b x + a} a}{b^{2}}"," ",0,"2/3*(b*x + a)^(3/2)/b^2 - 2*sqrt(b*x + a)*a/b^2","A",0
184,1,41,0,0.434144," ","integrate(x^2/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}}}{5 \, b^{3}} - \frac{4 \, {\left(b x + a\right)}^{\frac{3}{2}} a}{3 \, b^{3}} + \frac{2 \, \sqrt{b x + a} a^{2}}{b^{3}}"," ",0,"2/5*(b*x + a)^(5/2)/b^3 - 4/3*(b*x + a)^(3/2)*a/b^3 + 2*sqrt(b*x + a)*a^2/b^3","A",0
185,1,32,0,0.952741," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{\sqrt{a}}"," ",0,"log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/sqrt(a)","A",0
186,1,60,0,0.990464," ","integrate(1/x^2/(b*x+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b x + a} b}{{\left(b x + a\right)} a - a^{2}} - \frac{b \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right)}{2 \, a^{\frac{3}{2}}}"," ",0,"-sqrt(b*x + a)*b/((b*x + a)*a - a^2) - 1/2*b*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a)))/a^(3/2)","A",0
187,1,21,0,0.424363," ","integrate(((b*x+a)^(1/2))^p,x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{1}{2} \, p + 1}}{b {\left(p + 2\right)}}"," ",0,"2*(b*x + a)^(1/2*p + 1)/(b*(p + 2))","A",0
188,1,45,0,0.432141," ","integrate(x*((b*x+a)^(1/2))^p,x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} {\left(p + 2\right)} x^{2} + a b p x - 2 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{1}{2} \, p}}{{\left(p^{2} + 6 \, p + 8\right)} b^{2}}"," ",0,"2*(b^2*(p + 2)*x^2 + a*b*p*x - 2*a^2)*(b*x + a)^(1/2*p)/((p^2 + 6*p + 8)*b^2)","A",0
189,1,52,0,0.969453," ","integrate(arctan(1/2*(2*x-2^(1/2))*2^(1/2)),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} {\left(\sqrt{2} {\left(2 \, x - \sqrt{2}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \log\left(\frac{1}{2} \, {\left(2 \, x - \sqrt{2}\right)}^{2} + 1\right)\right)}"," ",0,"1/4*sqrt(2)*(sqrt(2)*(2*x - sqrt(2))*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - log(1/2*(2*x - sqrt(2))^2 + 1))","A",0
190,1,14,0,0.411755," ","integrate(1/(x^2-1)^(1/2),x, algorithm=""maxima"")","\log\left(2 \, x + 2 \, \sqrt{x^{2} - 1}\right)"," ",0,"log(2*x + 2*sqrt(x^2 - 1))","A",0
191,1,71,0,0.417667," ","integrate(x^(1/2)*(1+x)^(1/2),x, algorithm=""maxima"")","\frac{\frac{{\left(x + 1\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}} + \frac{\sqrt{x + 1}}{\sqrt{x}}}{4 \, {\left(\frac{{\left(x + 1\right)}^{2}}{x^{2}} - \frac{2 \, {\left(x + 1\right)}}{x} + 1\right)}} - \frac{1}{8} \, \log\left(\frac{\sqrt{x + 1}}{\sqrt{x}} + 1\right) + \frac{1}{8} \, \log\left(\frac{\sqrt{x + 1}}{\sqrt{x}} - 1\right)"," ",0,"1/4*((x + 1)^(3/2)/x^(3/2) + sqrt(x + 1)/sqrt(x))/((x + 1)^2/x^2 - 2*(x + 1)/x + 1) - 1/8*log(sqrt(x + 1)/sqrt(x) + 1) + 1/8*log(sqrt(x + 1)/sqrt(x) - 1)","B",0
192,1,16,0,0.445759," ","integrate(sin(x^(1/2)),x, algorithm=""maxima"")","-2 \, \sqrt{x} \cos\left(\sqrt{x}\right) + 2 \, \sin\left(\sqrt{x}\right)"," ",0,"-2*sqrt(x)*cos(sqrt(x)) + 2*sin(sqrt(x))","A",0
193,1,11,0,0.413296," ","integrate(x/(-x^2+1)^(9/8),x, algorithm=""maxima"")","\frac{4}{{\left(-x^{2} + 1\right)}^{\frac{1}{8}}}"," ",0,"4/(-x^2 + 1)^(1/8)","A",0
194,1,16,0,0.955056," ","integrate(x/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left(\frac{\sqrt{-x^{4} + 1}}{x^{2}}\right)"," ",0,"-1/2*arctan(sqrt(-x^4 + 1)/x^2)","B",0
195,1,25,0,0.437923," ","integrate(1/x/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} - 1\right)"," ",0,"-1/4*log(sqrt(x^4 + 1) + 1) + 1/4*log(sqrt(x^4 + 1) - 1)","B",0
196,0,0,0,0.000000," ","integrate(x/(x^4+x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{4} + x^{2} + 1}}\,{d x}"," ",0,"integrate(x/sqrt(x^4 + x^2 + 1), x)","F",0
197,1,17,0,1.011043," ","integrate(1/x/(-x^4+x^2-1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} i \, \operatorname{arsinh}\left(-\frac{1}{3} \, \sqrt{3} + \frac{2 \, \sqrt{3}}{3 \, x^{2}}\right)"," ",0,"-1/2*I*arcsinh(-1/3*sqrt(3) + 2/3*sqrt(3)/x^2)","C",0
198,1,14,0,0.953633," ","integrate((1+x)/(1-x)^2/(x^2+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{2} + 1}}{x - 1}"," ",0,"-sqrt(x^2 + 1)/(x - 1)","A",0
199,1,2,0,0.949215," ","integrate(1/(x^2+1)^(1/2),x, algorithm=""maxima"")","\operatorname{arsinh}\left(x\right)"," ",0,"arcsinh(x)","A",0
200,1,14,0,0.416285," ","integrate(1/2*(x^(1/2)*(1+x)^(1/2)+x^(1/2)*(2+x)^(1/2)+(1+x)^(1/2)*(2+x)^(1/2))/x^(1/2)/(1+x)^(1/2)/(2+x)^(1/2),x, algorithm=""maxima"")","\sqrt{x + 2} + \sqrt{x + 1} + \sqrt{x}"," ",0,"sqrt(x + 2) + sqrt(x + 1) + sqrt(x)","A",0
201,1,30,0,1.191489," ","integrate(1/2*(-2*(x^3+1)^(1/2)+5*x^4*(x^3+1)^(1/2)-3*x^2*(x^5-2*x+1)^(1/2))/(x^3+1)^(1/2)/(x^5-2*x+1)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{4} + x^{3} + x^{2} + x - 1} \sqrt{x - 1} - \sqrt{x^{3} + 1}"," ",0,"sqrt(x^4 + x^3 + x^2 + x - 1)*sqrt(x - 1) - sqrt(x^3 + 1)","A",0
202,1,31,0,0.416010," ","integrate(10/(x^2-4)^(1/2)+1/(x^2-1)^(1/2),x, algorithm=""maxima"")","\log\left(2 \, x + 2 \, \sqrt{x^{2} - 1}\right) + 10 \, \log\left(2 \, x + 2 \, \sqrt{x^{2} - 4}\right)"," ",0,"log(2*x + 2*sqrt(x^2 - 1)) + 10*log(2*x + 2*sqrt(x^2 - 4))","A",0
203,0,0,0,0.000000," ","integrate((x+(a^2+x^2)^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{x + \sqrt{a^{2} + x^{2}}}}{x}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(a^2 + x^2))/x, x)","F",0
204,1,40,0,0.984555," ","integrate(3/2*x^2/(1+x^3+(x^3+1)^(1/2)),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(x^{2} - x + 1\right) + \log\left(\frac{x^{3} + \sqrt{x^{2} - x + 1} \sqrt{x + 1} + 1}{\sqrt{x + 1}}\right)"," ",0,"-1/2*log(x^2 - x + 1) + log((x^3 + sqrt(x^2 - x + 1)*sqrt(x + 1) + 1)/sqrt(x + 1))","B",0
205,1,36,0,0.422186," ","integrate(1/(2*h*r^2-alpha^2)^(1/2),r, algorithm=""maxima"")","\frac{\sqrt{2} \log\left(4 \, h r + 2 \, \sqrt{2} \sqrt{2 \, h r^{2} - \alpha^{2}} \sqrt{h}\right)}{2 \, \sqrt{h}}"," ",0,"1/2*sqrt(2)*log(4*h*r + 2*sqrt(2)*sqrt(2*h*r^2 - alpha^2)*sqrt(h))/sqrt(h)","A",0
206,1,57,0,0.975006," ","integrate(1/r/(2*h*r^2-alpha^2-epsilon^2)^(1/2),r, algorithm=""maxima"")","-\frac{\arcsin\left(\frac{\sqrt{2} \alpha^{2}}{2 \, \sqrt{{\left(\alpha^{2} + \epsilon^{2}\right)} h} r} + \frac{\sqrt{2} \epsilon^{2}}{2 \, \sqrt{{\left(\alpha^{2} + \epsilon^{2}\right)} h} r}\right)}{\sqrt{\alpha^{2} + \epsilon^{2}}}"," ",0,"-arcsin(1/2*sqrt(2)*alpha^2/(sqrt((alpha^2 + epsilon^2)*h)*r) + 1/2*sqrt(2)*epsilon^2/(sqrt((alpha^2 + epsilon^2)*h)*r))/sqrt(alpha^2 + epsilon^2)","A",0
207,1,40,0,0.960944," ","integrate(1/r/(2*h*r^2-alpha^2-2*k*r)^(1/2),r, algorithm=""maxima"")","-\frac{\arcsin\left(\frac{k}{\sqrt{2 \, \alpha^{2} h + k^{2}}} + \frac{\alpha^{2}}{\sqrt{2 \, \alpha^{2} h + k^{2}} r}\right)}{\alpha}"," ",0,"-arcsin(k/sqrt(2*alpha^2*h + k^2) + alpha^2/(sqrt(2*alpha^2*h + k^2)*r))/alpha","A",0
208,1,77,0,0.969236," ","integrate(1/r/(2*h*r^2-alpha^2-epsilon^2-2*k*r)^(1/2),r, algorithm=""maxima"")","-\frac{\arcsin\left(\frac{k}{\sqrt{2 \, {\left(\alpha^{2} + \epsilon^{2}\right)} h + k^{2}}} + \frac{\alpha^{2}}{\sqrt{2 \, {\left(\alpha^{2} + \epsilon^{2}\right)} h + k^{2}} r} + \frac{\epsilon^{2}}{\sqrt{2 \, {\left(\alpha^{2} + \epsilon^{2}\right)} h + k^{2}} r}\right)}{\sqrt{\alpha^{2} + \epsilon^{2}}}"," ",0,"-arcsin(k/sqrt(2*(alpha^2 + epsilon^2)*h + k^2) + alpha^2/(sqrt(2*(alpha^2 + epsilon^2)*h + k^2)*r) + epsilon^2/(sqrt(2*(alpha^2 + epsilon^2)*h + k^2)*r))/sqrt(alpha^2 + epsilon^2)","A",0
209,1,19,0,0.415349," ","integrate(r/(2*e*r^2-alpha^2)^(1/2),r, algorithm=""maxima"")","\frac{\sqrt{2 \, e r^{2} - \alpha^{2}}}{2 \, e}"," ",0,"1/2*sqrt(2*e*r^2 - alpha^2)/e","A",0
210,1,24,0,0.415753," ","integrate(r/(2*e*r^2-alpha^2-epsilon^2)^(1/2),r, algorithm=""maxima"")","\frac{\sqrt{2 \, e r^{2} - \alpha^{2} - \epsilon^{2}}}{2 \, e}"," ",0,"1/2*sqrt(2*e*r^2 - alpha^2 - epsilon^2)/e","A",0
211,-2,0,0,0.000000," ","integrate(r/(-2*k*r^4+2*e*r^2-alpha^2)^(1/2),r, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2*alpha^2*k-e^2>0)', see `assume?` for more details)Is 2*alpha^2*k-e^2 zero or nonzero?","F(-2)",0
212,1,68,0,0.421917," ","integrate(r/(2*e*r^2-alpha^2-2*k*r)^(1/2),r, algorithm=""maxima"")","\frac{\sqrt{2} k \log\left(4 \, e r + 2 \, \sqrt{2} \sqrt{2 \, e r^{2} - \alpha^{2} - 2 \, k r} \sqrt{e} - 2 \, k\right)}{4 \, e^{\frac{3}{2}}} + \frac{\sqrt{2 \, e r^{2} - \alpha^{2} - 2 \, k r}}{2 \, e}"," ",0,"1/4*sqrt(2)*k*log(4*e*r + 2*sqrt(2)*sqrt(2*e*r^2 - alpha^2 - 2*k*r)*sqrt(e) - 2*k)/e^(3/2) + 1/2*sqrt(2*e*r^2 - alpha^2 - 2*k*r)/e","A",0
213,-2,0,0,0.000000," ","integrate(1/r/(-2*k*r^4+2*h*r^2-alpha^2)^(1/2),r, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2*alpha^2*k-h^2>0)', see `assume?` for more details)Is 2*alpha^2*k-h^2 positive, negative or zero?","F(-2)",0
214,-2,0,0,0.000000," ","integrate(1/r/(-2*k*r^4+2*h*r^2-alpha^2-epsilon^2)^(1/2),r, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2*epsilon^2*k+2*alpha^2*k>0)', see `assume?` for more details)Is 2*epsilon^2*k+2*alpha^2*k                                    -h^2 positive, negative or zero?","F(-2)",0
215,1,11,0,0.422539," ","integrate(a*cos(5+3*x)*sin(5+3*x)^2,x, algorithm=""maxima"")","\frac{1}{9} \, a \sin\left(3 \, x + 5\right)^{3}"," ",0,"1/9*a*sin(3*x + 5)^3","A",0
216,1,15,0,0.436511," ","integrate(log(x^2)/x^3,x, algorithm=""maxima"")","-\frac{\log\left(x^{2}\right)}{2 \, x^{2}} - \frac{1}{2 \, x^{2}}"," ",0,"-1/2*log(x^2)/x^2 - 1/2/x^2","A",0
217,1,20,0,0.437426," ","integrate(x*sin(a+x),x, algorithm=""maxima"")","-{\left(a + x\right)} \cos\left(a + x\right) + a \cos\left(a + x\right) + \sin\left(a + x\right)"," ",0,"-(a + x)*cos(a + x) + a*cos(a + x) + sin(a + x)","A",0
218,1,10,0,0.575913," ","integrate((-1+(1-x)*log(x))/exp(x)/log(x)^2,x, algorithm=""maxima"")","\frac{x e^{\left(-x\right)}}{\log\left(x\right)}"," ",0,"x*e^(-x)/log(x)","A",0
219,1,23,0,0.415785," ","integrate(x^3/(a*x^2+b),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, a} - \frac{b \log\left(a x^{2} + b\right)}{2 \, a^{2}}"," ",0,"1/2*x^2/a - 1/2*b*log(a*x^2 + b)/a^2","A",0
220,1,20,0,0.424818," ","integrate(x^(1/2)/(1+x)^(7/2),x, algorithm=""maxima"")","\frac{2 \, x^{\frac{5}{2}} {\left(\frac{5 \, {\left(x + 1\right)}}{x} - 3\right)}}{15 \, {\left(x + 1\right)}^{\frac{5}{2}}}"," ",0,"2/15*x^(5/2)*(5*(x + 1)/x - 3)/(x + 1)^(5/2)","A",0
221,1,9,0,0.420190," ","integrate(1/x/(1+x),x, algorithm=""maxima"")","-\log\left(x + 1\right) + \log\left(x\right)"," ",0,"-log(x + 1) + log(x)","A",0
222,1,28,0,0.973966," ","integrate(1/x^(1/2)/(-1+2*x),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - 2 \, \sqrt{x}}{\sqrt{2} + 2 \, \sqrt{x}}\right)"," ",0,"1/2*sqrt(2)*log(-(sqrt(2) - 2*sqrt(x))/(sqrt(2) + 2*sqrt(x)))","B",0
223,1,11,0,0.415798," ","integrate(x^(1/2)*(x^2+1),x, algorithm=""maxima"")","\frac{2}{7} \, x^{\frac{7}{2}} + \frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"2/7*x^(7/2) + 2/3*x^(3/2)","A",0
224,1,86,0,0.972420," ","integrate((-a+x)^(1/3)/x,x, algorithm=""maxima"")","-\sqrt{3} a^{\frac{1}{3}} \arctan\left(-\frac{\sqrt{3} {\left(a^{\frac{1}{3}} - 2 \, {\left(-a + x\right)}^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) + \frac{1}{2} \, a^{\frac{1}{3}} \log\left(a^{\frac{2}{3}} - a^{\frac{1}{3}} {\left(-a + x\right)}^{\frac{1}{3}} + {\left(-a + x\right)}^{\frac{2}{3}}\right) - a^{\frac{1}{3}} \log\left(a^{\frac{1}{3}} + {\left(-a + x\right)}^{\frac{1}{3}}\right) + 3 \, {\left(-a + x\right)}^{\frac{1}{3}}"," ",0,"-sqrt(3)*a^(1/3)*arctan(-1/3*sqrt(3)*(a^(1/3) - 2*(-a + x)^(1/3))/a^(1/3)) + 1/2*a^(1/3)*log(a^(2/3) - a^(1/3)*(-a + x)^(1/3) + (-a + x)^(2/3)) - a^(1/3)*log(a^(1/3) + (-a + x)^(1/3)) + 3*(-a + x)^(1/3)","A",0
225,1,34,0,0.429387," ","integrate(x*sinh(x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \sinh\left(x\right) + \frac{1}{4} \, {\left(x^{2} + 2 \, x + 2\right)} e^{\left(-x\right)} - \frac{1}{4} \, {\left(x^{2} - 2 \, x + 2\right)} e^{x}"," ",0,"1/2*x^2*sinh(x) + 1/4*(x^2 + 2*x + 2)*e^(-x) - 1/4*(x^2 - 2*x + 2)*e^x","B",0
226,1,34,0,0.432332," ","integrate(x*cosh(x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \cosh\left(x\right) - \frac{1}{4} \, {\left(x^{2} + 2 \, x + 2\right)} e^{\left(-x\right)} - \frac{1}{4} \, {\left(x^{2} - 2 \, x + 2\right)} e^{x}"," ",0,"1/2*x^2*cosh(x) - 1/4*(x^2 + 2*x + 2)*e^(-x) - 1/4*(x^2 - 2*x + 2)*e^x","B",0
227,1,7,0,0.430995," ","integrate(sinh(2*x)/cosh(2*x),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(\cosh\left(2 \, x\right)\right)"," ",0,"1/2*log(cosh(2*x))","A",0
228,1,13,0,0.425230," ","integrate((-1+I*eps*sinh(x))/(I*a-x+I*eps*cosh(x)),x, algorithm=""maxima"")","\log\left(i \, \mathit{eps} \cosh\left(x\right) + i \, a - x\right)"," ",0,"log(I*eps*cosh(x) + I*a - x)","A",0
229,1,22,0,0.470193," ","integrate(cos(x)^2*sin(3+2*x),x, algorithm=""maxima"")","\frac{1}{4} \, x \sin\left(3\right) - \frac{1}{16} \, \cos\left(4 \, x + 3\right) - \frac{1}{4} \, \cos\left(2 \, x + 3\right)"," ",0,"1/4*x*sin(3) - 1/16*cos(4*x + 3) - 1/4*cos(2*x + 3)","A",0
230,1,15,0,0.947697," ","integrate(x*arctan(x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \arctan\left(x\right) - \frac{1}{2} \, x + \frac{1}{2} \, \arctan\left(x\right)"," ",0,"1/2*x^2*arctan(x) - 1/2*x + 1/2*arctan(x)","A",0
231,1,15,0,0.958076," ","integrate(x*arccot(x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \operatorname{arccot}\left(x\right) + \frac{1}{2} \, x - \frac{1}{2} \, \arctan\left(x\right)"," ",0,"1/2*x^2*arccot(x) + 1/2*x - 1/2*arctan(x)","A",0
232,1,22,0,0.415265," ","integrate(x*log(x^2+a),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} + \frac{1}{2} \, {\left(x^{2} + a\right)} \log\left(x^{2} + a\right) - \frac{1}{2} \, a"," ",0,"-1/2*x^2 + 1/2*(x^2 + a)*log(x^2 + a) - 1/2*a","A",0
233,1,14,0,0.418401," ","integrate(cos(x)*sin(a+x),x, algorithm=""maxima"")","\frac{1}{2} \, x \sin\left(a\right) - \frac{1}{4} \, \cos\left(a + 2 \, x\right)"," ",0,"1/2*x*sin(a) - 1/4*cos(a + 2*x)","A",0
234,1,14,0,0.419116," ","integrate(cos(a+x)*sin(x),x, algorithm=""maxima"")","-\frac{1}{2} \, x \sin\left(a\right) - \frac{1}{4} \, \cos\left(a + 2 \, x\right)"," ",0,"-1/2*x*sin(a) - 1/4*cos(a + 2*x)","A",0
235,0,0,0,0.000000," ","integrate((1+sin(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sin\left(x\right) + 1}\,{d x}"," ",0,"integrate(sqrt(sin(x) + 1), x)","F",0
236,0,0,0,0.000000," ","integrate((1-sin(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{-\sin\left(x\right) + 1}\,{d x}"," ",0,"integrate(sqrt(-sin(x) + 1), x)","F",0
237,1,9,0,1.163988," ","integrate((1+cos(x))^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{2} \sin\left(\frac{1}{2} \, x\right)"," ",0,"2*sqrt(2)*sin(1/2*x)","A",0
238,1,20,0,0.971864," ","integrate((1-cos(x))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{2}}{\sqrt{\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1}}"," ",0,"-2*sqrt(2)/sqrt(sin(x)^2/(cos(x) + 1)^2 + 1)","A",0
239,0,0,0,0.000000," ","integrate(1/(-(-1+x)^(1/2)+x^(1/2)),x, algorithm=""maxima"")","-\int \frac{1}{\sqrt{x - 1} - \sqrt{x}}\,{d x}"," ",0,"-integrate(1/(sqrt(x - 1) - sqrt(x)), x)","F",0
240,1,18,0,0.423305," ","integrate(1/(1-(1+x)^(1/2)),x, algorithm=""maxima"")","-2 \, \sqrt{x + 1} - 2 \, \log\left(\sqrt{x + 1} - 1\right)"," ",0,"-2*sqrt(x + 1) - 2*log(sqrt(x + 1) - 1)","A",0
241,1,33,0,0.414858," ","integrate(x/(x^4+36)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 36}}{x^{2}} + 1\right) - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 36}}{x^{2}} - 1\right)"," ",0,"1/4*log(sqrt(x^4 + 36)/x^2 + 1) - 1/4*log(sqrt(x^4 + 36)/x^2 - 1)","B",0
242,1,24,0,0.419628," ","integrate(1/(x^(1/3)+x^(1/2)),x, algorithm=""maxima"")","2 \, \sqrt{x} - 3 \, x^{\frac{1}{3}} + 6 \, x^{\frac{1}{6}} - 6 \, \log\left(x^{\frac{1}{6}} + 1\right)"," ",0,"2*sqrt(x) - 3*x^(1/3) + 6*x^(1/6) - 6*log(x^(1/6) + 1)","A",0
243,1,26,0,0.970523," ","integrate(log(3*x^2+2),x, algorithm=""maxima"")","x \log\left(3 \, x^{2} + 2\right) + \frac{2}{3} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x\right) - 2 \, x"," ",0,"x*log(3*x^2 + 2) + 2/3*sqrt(6)*arctan(1/2*sqrt(6)*x) - 2*x","A",0
244,1,3,0,0.412794," ","integrate(cot(x),x, algorithm=""maxima"")","\log\left(\sin\left(x\right)\right)"," ",0,"log(sin(x))","A",0
245,1,16,0,0.970823," ","integrate(cot(x)^4,x, algorithm=""maxima"")","x + \frac{3 \, \tan\left(x\right)^{2} - 1}{3 \, \tan\left(x\right)^{3}}"," ",0,"x + 1/3*(3*tan(x)^2 - 1)/tan(x)^3","A",0
246,1,3,0,0.422543," ","integrate(tanh(x),x, algorithm=""maxima"")","\log\left(\cosh\left(x\right)\right)"," ",0,"log(cosh(x))","A",0
247,1,3,0,0.417372," ","integrate(coth(x),x, algorithm=""maxima"")","\log\left(\sinh\left(x\right)\right)"," ",0,"log(sinh(x))","A",0
248,1,8,0,0.414507," ","integrate(b^x,x, algorithm=""maxima"")","\frac{b^{x}}{\log\left(b\right)}"," ",0,"b^x/log(b)","A",0
249,1,10,0,0.985905," ","integrate((2+1/x^4+x^4)^(1/2),x, algorithm=""maxima"")","\frac{x^{4} - 3}{3 \, x}"," ",0,"1/3*(x^4 - 3)/x","A",0
250,1,12,0,0.419356," ","integrate((1+2*x)/(2+3*x),x, algorithm=""maxima"")","\frac{2}{3} \, x - \frac{1}{9} \, \log\left(3 \, x + 2\right)"," ",0,"2/3*x - 1/9*log(3*x + 2)","A",0
251,0,0,0,0.000000," ","integrate(x*log(x+(x^2+1)^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left(x + \sqrt{x^{2} + 1}\right) - \frac{1}{4} \, x^{2} - \int \frac{x^{2}}{2 \, {\left(x^{3} + {\left(x^{2} + 1\right)}^{\frac{3}{2}} + x\right)}}\,{d x} + \frac{1}{4} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*x^2*log(x + sqrt(x^2 + 1)) - 1/4*x^2 - integrate(1/2*x^2/(x^3 + (x^2 + 1)^(3/2) + x), x) + 1/4*log(x^2 + 1)","F",0
252,1,58,0,0.466971," ","integrate(x*(1+exp(x)*sin(x))^2,x, algorithm=""maxima"")","-\frac{1}{8} \, x \cos\left(2 \, x\right) e^{\left(2 \, x\right)} - {\left(x - 1\right)} \cos\left(x\right) e^{x} - \frac{1}{16} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)} \sin\left(2 \, x\right) + x e^{x} \sin\left(x\right) + \frac{1}{2} \, x^{2} + \frac{1}{8} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)}"," ",0,"-1/8*x*cos(2*x)*e^(2*x) - (x - 1)*cos(x)*e^x - 1/16*(2*x - 1)*e^(2*x)*sin(2*x) + x*e^x*sin(x) + 1/2*x^2 + 1/8*(2*x - 1)*e^(2*x)","A",0
253,1,17,0,0.435466," ","integrate(exp(x)*x*cos(x),x, algorithm=""maxima"")","\frac{1}{2} \, x \cos\left(x\right) e^{x} + \frac{1}{2} \, {\left(x - 1\right)} e^{x} \sin\left(x\right)"," ",0,"1/2*x*cos(x)*e^x + 1/2*(x - 1)*e^x*sin(x)","A",0
254,1,7,0,0.414324," ","integrate(1/(-3+x)^4,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(x - 3\right)}^{3}}"," ",0,"-1/3/(x - 3)^3","A",0
255,1,32,0,0.962381," ","integrate(x/(x^3-1),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*log(x^2 + x + 1) + 1/3*log(x - 1)","A",0
256,1,17,0,0.413692," ","integrate(x/(x^4-1),x, algorithm=""maxima"")","-\frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{4} \, \log\left(x^{2} - 1\right)"," ",0,"-1/4*log(x^2 + 1) + 1/4*log(x^2 - 1)","B",0
257,0,0,0,0.000000," ","integrate((x^3+1)*log(x)/(x^4+2),x, algorithm=""maxima"")","\int \frac{{\left(x^{3} + 1\right)} \log\left(x\right)}{x^{4} + 2}\,{d x}"," ",0,"integrate((x^3 + 1)*log(x)/(x^4 + 2), x)","F",0
258,1,25,0,0.418265," ","integrate(log(x)+log(1+x)+log(2+x),x, algorithm=""maxima"")","{\left(x + 2\right)} \log\left(x + 2\right) + {\left(x + 1\right)} \log\left(x + 1\right) + x \log\left(x\right) - 3 \, x - 3"," ",0,"(x + 2)*log(x + 2) + (x + 1)*log(x + 1) + x*log(x) - 3*x - 3","A",0
259,1,57,0,0.979460," ","integrate(1/(x^3+5),x, algorithm=""maxima"")","\frac{1}{15} \cdot 5^{\frac{1}{3}} \sqrt{3} \arctan\left(\frac{1}{15} \cdot 5^{\frac{2}{3}} \sqrt{3} {\left(2 \, x - 5^{\frac{1}{3}}\right)}\right) - \frac{1}{30} \cdot 5^{\frac{1}{3}} \log\left(x^{2} - 5^{\frac{1}{3}} x + 5^{\frac{2}{3}}\right) + \frac{1}{15} \cdot 5^{\frac{1}{3}} \log\left(x + 5^{\frac{1}{3}}\right)"," ",0,"1/15*5^(1/3)*sqrt(3)*arctan(1/15*5^(2/3)*sqrt(3)*(2*x - 5^(1/3))) - 1/30*5^(1/3)*log(x^2 - 5^(1/3)*x + 5^(2/3)) + 1/15*5^(1/3)*log(x + 5^(1/3))","A",0
260,1,2,0,0.955867," ","integrate(1/(x^2+1)^(1/2),x, algorithm=""maxima"")","\operatorname{arsinh}\left(x\right)"," ",0,"arcsinh(x)","A",0
261,1,20,0,0.960989," ","integrate((x^2+3)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{2} + 3} x + \frac{3}{2} \, \operatorname{arsinh}\left(\frac{1}{3} \, \sqrt{3} x\right)"," ",0,"1/2*sqrt(x^2 + 3)*x + 3/2*arcsinh(1/3*sqrt(3)*x)","A",0
262,1,10,0,0.414530," ","integrate(x/(1+x)^2,x, algorithm=""maxima"")","\frac{1}{x + 1} + \log\left(x + 1\right)"," ",0,"1/(x + 1) + log(x + 1)","A",0
263,1,14,0,0.951010," ","integrate(arcsin(x),x, algorithm=""maxima"")","x \arcsin\left(x\right) + \sqrt{-x^{2} + 1}"," ",0,"x*arcsin(x) + sqrt(-x^2 + 1)","A",0
264,1,33,0,1.007893," ","integrate(x^2*arcsin(x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \arcsin\left(x\right) + \frac{1}{9} \, \sqrt{-x^{2} + 1} x^{2} + \frac{2}{9} \, \sqrt{-x^{2} + 1}"," ",0,"1/3*x^3*arcsin(x) + 1/9*sqrt(-x^2 + 1)*x^2 + 2/9*sqrt(-x^2 + 1)","A",0
265,1,13,0,0.423905," ","integrate(sec(x)^2/(1+sec(x)^2-3*tan(x)),x, algorithm=""maxima"")","-\log\left(\tan\left(x\right) - 1\right) + \log\left(\tan\left(x\right) - 2\right)"," ",0,"-log(tan(x) - 1) + log(tan(x) - 2)","A",0
266,1,10,0,0.416810," ","integrate(1/sec(x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x + 1/4*sin(2*x)","A",0
267,1,16,0,0.422570," ","integrate((5*x^2-3*x-2)/(-2+x)/x^2,x, algorithm=""maxima"")","-\frac{1}{x} + 3 \, \log\left(x - 2\right) + 2 \, \log\left(x\right)"," ",0,"-1/x + 3*log(x - 2) + 2*log(x)","A",0
268,1,6,0,0.966641," ","integrate(1/(4*x^2+9)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \operatorname{arsinh}\left(\frac{2}{3} \, x\right)"," ",0,"1/2*arcsinh(2/3*x)","A",0
269,1,4,0,0.965369," ","integrate(1/(x^2+4)^(1/2),x, algorithm=""maxima"")","\operatorname{arsinh}\left(\frac{1}{2} \, x\right)"," ",0,"arcsinh(1/2*x)","A",0
270,1,16,0,0.951108," ","integrate(1/(9*x^2-12*x+10),x, algorithm=""maxima"")","\frac{1}{18} \, \sqrt{6} \arctan\left(\frac{1}{6} \, \sqrt{6} {\left(3 \, x - 2\right)}\right)"," ",0,"1/18*sqrt(6)*arctan(1/6*sqrt(6)*(3*x - 2))","A",0
271,1,47,0,0.957102," ","integrate(1/(x^8-2*x^7+2*x^6-2*x^5+x^4),x, algorithm=""maxima"")","-\frac{15 \, x^{3} - 6 \, x^{2} - 4 \, x - 2}{6 \, {\left(x^{4} - x^{3}\right)}} + \frac{1}{4} \, \log\left(x^{2} + 1\right) - \frac{5}{2} \, \log\left(x - 1\right) + 2 \, \log\left(x\right)"," ",0,"-1/6*(15*x^3 - 6*x^2 - 4*x - 2)/(x^4 - x^3) + 1/4*log(x^2 + 1) - 5/2*log(x - 1) + 2*log(x)","A",0
272,1,41,0,0.425398," ","integrate((a*x^3+b*x^2+c*x+d)/(-3+x)/x/(1+x),x, algorithm=""maxima"")","a x - \frac{1}{4} \, {\left(a - b + c - d\right)} \log\left(x + 1\right) + \frac{1}{12} \, {\left(27 \, a + 9 \, b + 3 \, c + d\right)} \log\left(x - 3\right) - \frac{1}{3} \, d \log\left(x\right)"," ",0,"a*x - 1/4*(a - b + c - d)*log(x + 1) + 1/12*(27*a + 9*b + 3*c + d)*log(x - 3) - 1/3*d*log(x)","A",0
273,0,0,0,0.000000," ","integrate(1/(2-log(x^2+1))^5,x, algorithm=""maxima"")","\frac{32 \, x^{8} + 56 \, x^{6} + 120 \, x^{4} + {\left(x^{8} - 10 \, x^{4} - 24 \, x^{2} - 15\right)} \log\left(x^{2} + 1\right)^{3} - 2 \, {\left(2 \, x^{8} - x^{6} - 33 \, x^{4} - 75 \, x^{2} - 45\right)} \log\left(x^{2} + 1\right)^{2} + 216 \, x^{2} + 4 \, {\left(3 \, x^{8} - 2 \, x^{6} - 38 \, x^{4} - 78 \, x^{2} - 45\right)} \log\left(x^{2} + 1\right) + 120}{384 \, {\left(x^{7} \log\left(x^{2} + 1\right)^{4} - 8 \, x^{7} \log\left(x^{2} + 1\right)^{3} + 24 \, x^{7} \log\left(x^{2} + 1\right)^{2} - 32 \, x^{7} \log\left(x^{2} + 1\right) + 16 \, x^{7}\right)}} - \int \frac{x^{8} + 30 \, x^{4} + 120 \, x^{2} + 105}{384 \, {\left(x^{8} \log\left(x^{2} + 1\right) - 2 \, x^{8}\right)}}\,{d x}"," ",0,"1/384*(32*x^8 + 56*x^6 + 120*x^4 + (x^8 - 10*x^4 - 24*x^2 - 15)*log(x^2 + 1)^3 - 2*(2*x^8 - x^6 - 33*x^4 - 75*x^2 - 45)*log(x^2 + 1)^2 + 216*x^2 + 4*(3*x^8 - 2*x^6 - 38*x^4 - 78*x^2 - 45)*log(x^2 + 1) + 120)/(x^7*log(x^2 + 1)^4 - 8*x^7*log(x^2 + 1)^3 + 24*x^7*log(x^2 + 1)^2 - 32*x^7*log(x^2 + 1) + 16*x^7) - integrate(1/384*(x^8 + 30*x^4 + 120*x^2 + 105)/(x^8*log(x^2 + 1) - 2*x^8), x)","F",0
274,1,27,0,0.560328," ","integrate(exp(x^2)/x+2*exp(x^2)*x*log(x)+(-2+log(x))/(x+log(x)^2)^2+(1+1/x+2*log(x)/x)/(x+log(x)^2),x, algorithm=""maxima"")","e^{\left(x^{2}\right)} \log\left(x\right) - \frac{\log\left(x\right)}{\log\left(x\right)^{2} + x} + \log\left(\log\left(x\right)^{2} + x\right)"," ",0,"e^(x^2)*log(x) - log(x)/(log(x)^2 + x) + log(log(x)^2 + x)","A",0
275,1,160,0,0.539892," ","integrate(x^4*exp(1/2*x+x*z)*sin(pi*z)^4,z, algorithm=""maxima"")","\frac{{\left({\left(4 \, \pi^{2} x^{2} + x^{4}\right)} \cos\left(4 \, \pi z\right) e^{\left(x z + \frac{1}{2} \, x\right)} - 4 \, {\left(16 \, \pi^{2} x^{2} + x^{4}\right)} \cos\left(2 \, \pi z\right) e^{\left(x z + \frac{1}{2} \, x\right)} + 4 \, {\left(4 \, \pi^{3} x + \pi x^{3}\right)} e^{\left(x z + \frac{1}{2} \, x\right)} \sin\left(4 \, \pi z\right) - 8 \, {\left(16 \, \pi^{3} x + \pi x^{3}\right)} e^{\left(x z + \frac{1}{2} \, x\right)} \sin\left(2 \, \pi z\right) + 3 \, {\left(64 \, \pi^{4} + 20 \, \pi^{2} x^{2} + x^{4}\right)} e^{\left(x z + \frac{1}{2} \, x\right)}\right)} x^{4}}{8 \, {\left(64 \, \pi^{4} x + 20 \, \pi^{2} x^{3} + x^{5}\right)}}"," ",0,"1/8*((4*pi^2*x^2 + x^4)*cos(4*pi*z)*e^(x*z + 1/2*x) - 4*(16*pi^2*x^2 + x^4)*cos(2*pi*z)*e^(x*z + 1/2*x) + 4*(4*pi^3*x + pi*x^3)*e^(x*z + 1/2*x)*sin(4*pi*z) - 8*(16*pi^3*x + pi*x^3)*e^(x*z + 1/2*x)*sin(2*pi*z) + 3*(64*pi^4 + 20*pi^2*x^2 + x^4)*e^(x*z + 1/2*x))*x^4/(64*pi^4*x + 20*pi^2*x^3 + x^5)","A",0
276,1,15,0,0.418870," ","integrate(erf(x),x, algorithm=""maxima"")","x \operatorname{erf}\left(x\right) + \frac{e^{\left(-x^{2}\right)}}{\sqrt{\pi}}"," ",0,"x*erf(x) + e^(-x^2)/sqrt(pi)","A",0
277,1,21,0,0.418214," ","integrate(erf(a+x),x, algorithm=""maxima"")","{\left(a + x\right)} \operatorname{erf}\left(a + x\right) + \frac{e^{\left(-{\left(a + x\right)}^{2}\right)}}{\sqrt{\pi}}"," ",0,"(a + x)*erf(a + x) + e^(-(a + x)^2)/sqrt(pi)","A",0
278,0,0,0,0.000000," ","integrate((2*x^6+4*x^5+7*x^4-3*x^3-x^2-8*x-8)/(2*x^2-1)^2/(x^4+4*x^3+2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{2 \, x^{6} + 4 \, x^{5} + 7 \, x^{4} - 3 \, x^{3} - x^{2} - 8 \, x - 8}{\sqrt{x^{4} + 4 \, x^{3} + 2 \, x^{2} + 1} {\left(2 \, x^{2} - 1\right)}^{2}}\,{d x}"," ",0,"integrate((2*x^6 + 4*x^5 + 7*x^4 - 3*x^3 - x^2 - 8*x - 8)/(sqrt(x^4 + 4*x^3 + 2*x^2 + 1)*(2*x^2 - 1)^2), x)","F",0
279,0,0,0,0.000000," ","integrate((1+2*y)*(-5*y^2-5*y+1)^(1/2)/y/(1+y)/(2+y)/(-y^2-y+1)^(1/2),y, algorithm=""maxima"")","\int \frac{\sqrt{-5 \, y^{2} - 5 \, y + 1} {\left(2 \, y + 1\right)}}{\sqrt{-y^{2} - y + 1} {\left(y + 2\right)} {\left(y + 1\right)} y}\,{d y}"," ",0,"integrate(sqrt(-5*y^2 - 5*y + 1)*(2*y + 1)/(sqrt(-y^2 - y + 1)*(y + 2)*(y + 1)*y), y)","F",0
280,1,171,0,0.734263," ","integrate(x*(-(x^2-4)^(1/2)+x^2*(x^2-4)^(1/2)-4*(x^2-1)^(1/2)+x^2*(x^2-1)^(1/2))/(x^4-5*x^2+4)/(1+(x^2-4)^(1/2)+(x^2-1)^(1/2)),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(x + 1\right) + \frac{3}{8} \, \log\left(x - 1\right) + \frac{1}{8} \, \log\left(x - 2\right) + \frac{1}{4} \, \log\left(\frac{2 \, x^{4} + 4 \, {\left(x^{2} - 3\right)} \sqrt{x + 1} \sqrt{x - 1} - 7 \, x^{2} + 2 \, {\left({\left(x^{2} - 1\right)} \sqrt{x + 1} \sqrt{x - 1} \sqrt{x - 2} + {\left(2 \, x^{2} - 3\right)} \sqrt{x - 2}\right)} \sqrt{x + 2} + 3}{2 \, {\left({\left(x^{2} - 1\right)} \sqrt{x + 1} \sqrt{x - 1} \sqrt{x - 2} + {\left(2 \, x^{2} - 3\right)} \sqrt{x - 2}\right)}}\right) + \frac{1}{4} \, \log\left(\frac{{\left(x^{2} - 1\right)} \sqrt{x + 1} \sqrt{x - 1} + 2 \, x^{2} - 3}{{\left(x^{2} - 1\right)} \sqrt{x - 1}}\right)"," ",0,"1/4*log(x + 1) + 3/8*log(x - 1) + 1/8*log(x - 2) + 1/4*log(1/2*(2*x^4 + 4*(x^2 - 3)*sqrt(x + 1)*sqrt(x - 1) - 7*x^2 + 2*((x^2 - 1)*sqrt(x + 1)*sqrt(x - 1)*sqrt(x - 2) + (2*x^2 - 3)*sqrt(x - 2))*sqrt(x + 2) + 3)/((x^2 - 1)*sqrt(x + 1)*sqrt(x - 1)*sqrt(x - 2) + (2*x^2 - 3)*sqrt(x - 2))) + 1/4*log(((x^2 - 1)*sqrt(x + 1)*sqrt(x - 1) + 2*x^2 - 3)/((x^2 - 1)*sqrt(x - 1)))","B",0
281,0,0,0,0.000000," ","integrate(-2^(1/2)*(x^4+2*x^2+4*x+1)^(1/2)+x*(-1+2*2^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} {\left(2 \, \sqrt{2} - 1\right)} - \sqrt{2} \int \sqrt{x^{3} - x^{2} + 3 \, x + 1} \sqrt{x + 1}\,{d x}"," ",0,"1/2*x^2*(2*sqrt(2) - 1) - sqrt(2)*integrate(sqrt(x^3 - x^2 + 3*x + 1)*sqrt(x + 1), x)","F",0
282,0,0,0,0.000000," ","integrate(1/384*(pi^2*(4*mc^9-3*mc^8-48*mc^7*x+24*mc^6*x-144*mc^5*x^2+176*mc^3*x^3-24*mc^2*x^3+12*mc*x^4+3*x^4)+12*mc^3*pi^2*(-12*mc^2+3*mc-8*x)*x^2*log(x/mc^2))/exp(x/y)/x^2,x, algorithm=""maxima"")","-\frac{\pi^{2} \mathit{mc}^{9} \Gamma\left(-1, \frac{x}{y}\right)}{96 \, y} - \frac{1}{8} \, \pi^{2} \mathit{mc}^{7} {\rm Ei}\left(-\frac{x}{y}\right) + \frac{\pi^{2} \mathit{mc}^{8} \Gamma\left(-1, \frac{x}{y}\right)}{128 \, y} + \frac{3}{8} \, \pi^{2} \mathit{mc}^{5} y e^{\left(-\frac{x}{y}\right)} \log\left(\frac{x}{\mathit{mc}^{2}}\right) + \frac{1}{16} \, \pi^{2} \mathit{mc}^{6} {\rm Ei}\left(-\frac{x}{y}\right) - \frac{3}{8} \, \pi^{2} \mathit{mc}^{5} y {\rm Ei}\left(-\frac{x}{y}\right) + \frac{3}{8} \, \pi^{2} \mathit{mc}^{5} y e^{\left(-\frac{x}{y}\right)} - \frac{3}{32} \, \pi^{2} \mathit{mc}^{4} y e^{\left(-\frac{x}{y}\right)} \log\left(\frac{x}{\mathit{mc}^{2}}\right) + \frac{3}{32} \, \pi^{2} \mathit{mc}^{4} y {\rm Ei}\left(-\frac{x}{y}\right) - \frac{11}{24} \, \pi^{2} {\left(x y + y^{2}\right)} \mathit{mc}^{3} e^{\left(-\frac{x}{y}\right)} + \frac{1}{4} \, \pi^{2} {\left({\left(x y + y^{2}\right)} e^{\left(-\frac{x}{y}\right)} \log\left(x\right) + \int \frac{{\left(2 \, x^{2} \log\left(\mathit{mc}\right) - x y - y^{2}\right)} e^{\left(-\frac{x}{y}\right)}}{x}\,{d x}\right)} \mathit{mc}^{3} + \frac{1}{16} \, \pi^{2} {\left(x y + y^{2}\right)} \mathit{mc}^{2} e^{\left(-\frac{x}{y}\right)} - \frac{1}{32} \, \pi^{2} {\left(x^{2} y + 2 \, x y^{2} + 2 \, y^{3}\right)} \mathit{mc} e^{\left(-\frac{x}{y}\right)} - \frac{1}{128} \, \pi^{2} {\left(x^{2} y + 2 \, x y^{2} + 2 \, y^{3}\right)} e^{\left(-\frac{x}{y}\right)}"," ",0,"-1/96*pi^2*mc^9*gamma(-1, x/y)/y - 1/8*pi^2*mc^7*Ei(-x/y) + 1/128*pi^2*mc^8*gamma(-1, x/y)/y + 3/8*pi^2*mc^5*y*e^(-x/y)*log(x/mc^2) + 1/16*pi^2*mc^6*Ei(-x/y) - 3/8*pi^2*mc^5*y*Ei(-x/y) + 3/8*pi^2*mc^5*y*e^(-x/y) - 3/32*pi^2*mc^4*y*e^(-x/y)*log(x/mc^2) + 3/32*pi^2*mc^4*y*Ei(-x/y) - 11/24*pi^2*(x*y + y^2)*mc^3*e^(-x/y) + 1/4*pi^2*((x*y + y^2)*e^(-x/y)*log(x) + integrate((2*x^2*log(mc) - x*y - y^2)*e^(-x/y)/x, x))*mc^3 + 1/16*pi^2*(x*y + y^2)*mc^2*e^(-x/y) - 1/32*pi^2*(x^2*y + 2*x*y^2 + 2*y^3)*mc*e^(-x/y) - 1/128*pi^2*(x^2*y + 2*x*y^2 + 2*y^3)*e^(-x/y)","F",0
283,1,4,0,0.442299," ","integrate(sin(2*x)/cos(x),x, algorithm=""maxima"")","-2 \, \cos\left(x\right)"," ",0,"-2*cos(x)","A",0
284,0,0,0,0.000000," ","integrate((7*x^13+10*x^8+4*x^7-7*x^6-4*x^3-4*x^2+3*x+3)/(x^14-2*x^8-2*x^7-2*x^4-4*x^3-x^2+2*x+1),x, algorithm=""maxima"")","\int \frac{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}\,{d x}"," ",0,"integrate((7*x^13 + 10*x^8 + 4*x^7 - 7*x^6 - 4*x^3 - 4*x^2 + 3*x + 3)/(x^14 - 2*x^8 - 2*x^7 - 2*x^4 - 4*x^3 - x^2 + 2*x + 1), x)","F",0
