1,1,12,0,1.235268," ","integrate(x^2+x+1,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} + x"," ",0,"1/3*x^3 + 1/2*x^2 + x","A",0
2,1,16,0,1.010949," ","integrate(x^2*(2*x^2+x)^2,x, algorithm=""giac"")","\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
3,1,16,0,1.068223," ","integrate(x*(x^2+2*x+1),x, algorithm=""giac"")","\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
4,1,3,0,1.120366," ","integrate(1/x,x, algorithm=""giac"")","\log\left({\left| x \right|}\right)"," ",0,"log(abs(x))","A",0
5,1,23,0,1.009283," ","integrate((1+x)^3/(-1+x)^4,x, algorithm=""giac"")","-\frac{2 \, {\left(9 \, x^{2} - 9 \, x + 4\right)}}{3 \, {\left(x - 1\right)}^{3}} + \log\left({\left| x - 1 \right|}\right)"," ",0,"-2/3*(9*x^2 - 9*x + 4)/(x - 1)^3 + log(abs(x - 1))","A",0
6,1,34,0,1.149976," ","integrate(1/(-1+x)/x/(1+x)^2,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(x + 1\right)}} - \log\left({\left| -\frac{1}{x + 1} + 1 \right|}\right) + \frac{1}{4} \, \log\left({\left| -\frac{2}{x + 1} + 1 \right|}\right)"," ",0,"-1/2/(x + 1) - log(abs(-1/(x + 1) + 1)) + 1/4*log(abs(-2/(x + 1) + 1))","A",0
7,1,42,0,1.181722," ","integrate((a*x+b)/(-p+x)/(-q+x),x, algorithm=""giac"")","\frac{{\left(a p + b\right)} \log\left({\left| -p + x \right|}\right)}{p - q} - \frac{{\left(a q + b\right)} \log\left({\left| -q + x \right|}\right)}{p - q}"," ",0,"(a*p + b)*log(abs(-p + x))/(p - q) - (a*q + b)*log(abs(-q + x))/(p - q)","A",0
8,1,34,0,1.347930," ","integrate(1/(a*x^2+b*x+c),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{2 \, a x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c}}"," ",0,"2*arctan((2*a*x + b)/sqrt(-b^2 + 4*a*c))/sqrt(-b^2 + 4*a*c)","A",0
9,1,14,0,1.190826," ","integrate((a*x+b)/(x^2+1),x, algorithm=""giac"")","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
10,1,14,0,1.210651," ","integrate(1/(x^2-2*x+3),x, algorithm=""giac"")","\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
11,1,80,0,1.038967," ","integrate(1/(-1+x)^2/(x^2+1)^2,x, algorithm=""giac"")","\frac{1}{16} \, \pi - \frac{1}{4} \, \pi \left \lfloor \frac{\pi + 4 \, \arctan\left(x\right)}{4 \, \pi} + \frac{1}{2} \right \rfloor + \frac{\frac{2}{x - 1} + 1}{8 \, {\left(\frac{2}{x - 1} + \frac{2}{{\left(x - 1\right)}^{2}} + 1\right)}} - \frac{1}{4 \, {\left(x - 1\right)}} + \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{4} \, \log\left(\frac{2}{x - 1} + \frac{2}{{\left(x - 1\right)}^{2}} + 1\right)"," ",0,"1/16*pi - 1/4*pi*floor(1/4*(pi + 4*arctan(x))/pi + 1/2) + 1/8*(2/(x - 1) + 1)/(2/(x - 1) + 2/(x - 1)^2 + 1) - 1/4/(x - 1) + 1/4*arctan(x) + 1/4*log(2/(x - 1) + 2/(x - 1)^2 + 1)","B",0
12,1,81,0,1.124086," ","integrate(x/(-a+x)/(-b+x)/(-c+x),x, algorithm=""giac"")","\frac{a \log\left({\left| -a + x \right|}\right)}{a^{2} - a b - a c + b c} - \frac{b \log\left({\left| -b + x \right|}\right)}{a b - b^{2} - a c + b c} + \frac{c \log\left({\left| -c + x \right|}\right)}{a b - a c - b c + c^{2}}"," ",0,"a*log(abs(-a + x))/(a^2 - a*b - a*c + b*c) - b*log(abs(-b + x))/(a*b - b^2 - a*c + b*c) + c*log(abs(-c + x))/(a*b - a*c - b*c + c^2)","A",0
13,1,43,0,1.054665," ","integrate(x/(a^2+x^2)/(b^2+x^2),x, algorithm=""giac"")","-\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
14,1,40,0,1.166335," ","integrate(x^2/(a^2+x^2)/(b^2+x^2),x, algorithm=""giac"")","\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
15,1,20,0,1.158625," ","integrate(x/(-1+x)/(x^2+1),x, algorithm=""giac"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"1/2*arctan(x) - 1/4*log(x^2 + 1) + 1/2*log(abs(x - 1))","A",0
16,1,35,0,1.192471," ","integrate(x/(x^3+1),x, algorithm=""giac"")","\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({\left| x + 1 \right|}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/6*log(x^2 - x + 1) - 1/3*log(abs(x + 1))","A",0
17,1,36,0,1.045531," ","integrate(x^3/(-1+x)^2/(x^3+1),x, algorithm=""giac"")","-\frac{1}{2 \, {\left(x - 1\right)}} - \frac{1}{3} \, \log\left(\frac{1}{x - 1} + \frac{1}{{\left(x - 1\right)}^{2}} + 1\right) - \frac{1}{12} \, \log\left({\left| -\frac{2}{x - 1} - 1 \right|}\right)"," ",0,"-1/2/(x - 1) - 1/3*log(1/(x - 1) + 1/(x - 1)^2 + 1) - 1/12*log(abs(-2/(x - 1) - 1))","A",0
18,1,72,0,1.307770," ","integrate(1/(x^4+1),x, algorithm=""giac"")","\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
19,1,72,0,0.992965," ","integrate(x^2/(x^4+1),x, algorithm=""giac"")","\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
20,1,53,0,1.016062," ","integrate(1/(x^4+x^2+1),x, algorithm=""giac"")","\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
21,1,18,0,0.992177," ","integrate((b*x+a)^p,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{p + 1}}{b {\left(p + 1\right)}}"," ",0,"(b*x + a)^(p + 1)/(b*(p + 1))","A",0
22,1,76,0,1.236887," ","integrate(x*(b*x+a)^p,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{p} b^{2} p x^{2} + {\left(b x + a\right)}^{p} a b p x + {\left(b x + a\right)}^{p} b^{2} x^{2} - {\left(b x + a\right)}^{p} a^{2}}{b^{2} p^{2} + 3 \, b^{2} p + 2 \, b^{2}}"," ",0,"((b*x + a)^p*b^2*p*x^2 + (b*x + a)^p*a*b*p*x + (b*x + a)^p*b^2*x^2 - (b*x + a)^p*a^2)/(b^2*p^2 + 3*b^2*p + 2*b^2)","A",0
23,1,140,0,1.218616," ","integrate(x^2*(b*x+a)^p,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{p} b^{3} p^{2} x^{3} + {\left(b x + a\right)}^{p} a b^{2} p^{2} x^{2} + 3 \, {\left(b x + a\right)}^{p} b^{3} p x^{3} + {\left(b x + a\right)}^{p} a b^{2} p x^{2} + 2 \, {\left(b x + a\right)}^{p} b^{3} x^{3} - 2 \, {\left(b x + a\right)}^{p} a^{2} b p x + 2 \, {\left(b x + a\right)}^{p} a^{3}}{b^{3} p^{3} + 6 \, b^{3} p^{2} + 11 \, b^{3} p + 6 \, b^{3}}"," ",0,"((b*x + a)^p*b^3*p^2*x^3 + (b*x + a)^p*a*b^2*p^2*x^2 + 3*(b*x + a)^p*b^3*p*x^3 + (b*x + a)^p*a*b^2*p*x^2 + 2*(b*x + a)^p*b^3*x^3 - 2*(b*x + a)^p*a^2*b*p*x + 2*(b*x + a)^p*a^3)/(b^3*p^3 + 6*b^3*p^2 + 11*b^3*p + 6*b^3)","B",0
24,1,11,0,1.093858," ","integrate(1/(b*x+a),x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b}"," ",0,"log(abs(b*x + a))/b","A",0
25,1,12,0,1.058707," ","integrate(1/(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{{\left(b x + a\right)} b}"," ",0,"-1/((b*x + a)*b)","A",0
26,1,19,0,1.191482," ","integrate(x/(b*x+a),x, algorithm=""giac"")","\frac{x}{b} - \frac{a \log\left({\left| b x + a \right|}\right)}{b^{2}}"," ",0,"x/b - a*log(abs(b*x + a))/b^2","A",0
27,1,30,0,0.794919," ","integrate(x^2/(b*x+a),x, algorithm=""giac"")","\frac{a^{2} \log\left({\left| b x + a \right|}\right)}{b^{3}} + \frac{b x^{2} - 2 \, a x}{2 \, b^{2}}"," ",0,"a^2*log(abs(b*x + a))/b^3 + 1/2*(b*x^2 - 2*a*x)/b^2","A",0
28,1,20,0,1.201463," ","integrate(1/x/(b*x+a),x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a} + \frac{\log\left({\left| x \right|}\right)}{a}"," ",0,"-log(abs(b*x + a))/a + log(abs(x))/a","A",0
29,1,30,0,1.089832," ","integrate(1/x^2/(b*x+a),x, algorithm=""giac"")","\frac{b \log\left({\left| b x + a \right|}\right)}{a^{2}} - \frac{b \log\left({\left| x \right|}\right)}{a^{2}} - \frac{1}{a x}"," ",0,"b*log(abs(b*x + a))/a^2 - b*log(abs(x))/a^2 - 1/(a*x)","A",0
30,1,52,0,1.147628," ","integrate(1/x^2/(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, b \log\left({\left| -\frac{a}{b x + a} + 1 \right|}\right)}{a^{3}} - \frac{b}{{\left(b x + a\right)} a^{2}} + \frac{b}{a^{3} {\left(\frac{a}{b x + a} - 1\right)}}"," ",0,"-2*b*log(abs(-a/(b*x + a) + 1))/a^3 - b/((b*x + a)*a^2) + b/(a^3*(a/(b*x + a) - 1))","A",0
31,1,10,0,1.174049," ","integrate(1/(c^2+x^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{x}{c}\right)}{c}"," ",0,"arctan(x/c)/c","A",0
32,1,23,0,0.946093," ","integrate(1/(c^2-x^2),x, algorithm=""giac"")","\frac{\log\left({\left| c + x \right|}\right)}{2 \, c} - \frac{\log\left({\left| -c + x \right|}\right)}{2 \, c}"," ",0,"1/2*log(abs(c + x))/c - 1/2*log(abs(-c + x))/c","B",0
33,1,57,0,1.012188," ","integrate(1/(2*x^3-1),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \left(\frac{1}{2}\right)^{\frac{1}{3}} \arctan\left(\frac{2}{3} \, \sqrt{3} \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(2 \, x + \left(\frac{1}{2}\right)^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \cdot 4^{\frac{1}{3}} \log\left(x^{2} + \left(\frac{1}{2}\right)^{\frac{1}{3}} x + \left(\frac{1}{2}\right)^{\frac{2}{3}}\right) + \frac{1}{3} \, \left(\frac{1}{2}\right)^{\frac{1}{3}} \log\left({\left| x - \left(\frac{1}{2}\right)^{\frac{1}{3}} \right|}\right)"," ",0,"-1/3*sqrt(3)*(1/2)^(1/3)*arctan(2/3*sqrt(3)*(1/2)^(2/3)*(2*x + (1/2)^(1/3))) - 1/12*4^(1/3)*log(x^2 + (1/2)^(1/3)*x + (1/2)^(2/3)) + 1/3*(1/2)^(1/3)*log(abs(x - (1/2)^(1/3)))","A",0
34,1,57,0,1.277407," ","integrate(1/(x^3-2),x, algorithm=""giac"")","-\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({\left| x - 2^{\frac{1}{3}} \right|}\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(abs(x - 2^(1/3)))","A",0
35,1,104,0,1.268814," ","integrate(1/(a*x^3-b),x, algorithm=""giac"")","\frac{\left(\frac{b}{a}\right)^{\frac{1}{3}} \log\left({\left| x - \left(\frac{b}{a}\right)^{\frac{1}{3}} \right|}\right)}{3 \, b} - \frac{\sqrt{3} \left(a^{2} b\right)^{\frac{1}{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 b} - \frac{\left(a^{2} b\right)^{\frac{1}{3}} \log\left(x^{2} + x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, a b}"," ",0,"1/3*(b/a)^(1/3)*log(abs(x - (b/a)^(1/3)))/b - 1/3*sqrt(3)*(a^2*b)^(1/3)*arctan(1/3*sqrt(3)*(2*x + (b/a)^(1/3))/(b/a)^(1/3))/(a*b) - 1/6*(a^2*b)^(1/3)*log(x^2 + x*(b/a)^(1/3) + (b/a)^(2/3))/(a*b)","A",0
36,1,39,0,1.293656," ","integrate(1/(x^4-2),x, algorithm=""giac"")","-\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({\left| x + 2^{\frac{1}{4}} \right|}\right) + \frac{1}{8} \cdot 2^{\frac{1}{4}} \log\left({\left| x - 2^{\frac{1}{4}} \right|}\right)"," ",0,"-1/4*2^(1/4)*arctan(1/2*2^(3/4)*x) - 1/8*2^(1/4)*log(abs(x + 2^(1/4))) + 1/8*2^(1/4)*log(abs(x - 2^(1/4)))","A",0
37,1,39,0,1.084284," ","integrate(1/(5*x^4-1),x, algorithm=""giac"")","-\frac{1}{10} \cdot 5^{\frac{3}{4}} \arctan\left(5 \, \left(\frac{1}{5}\right)^{\frac{3}{4}} x\right) - \frac{1}{20} \cdot 5^{\frac{3}{4}} \log\left({\left| x + \left(\frac{1}{5}\right)^{\frac{1}{4}} \right|}\right) + \frac{1}{20} \cdot 5^{\frac{3}{4}} \log\left({\left| x - \left(\frac{1}{5}\right)^{\frac{1}{4}} \right|}\right)"," ",0,"-1/10*5^(3/4)*arctan(5*(1/5)^(3/4)*x) - 1/20*5^(3/4)*log(abs(x + (1/5)^(1/4))) + 1/20*5^(3/4)*log(abs(x - (1/5)^(1/4)))","A",0
38,1,95,0,1.168093," ","integrate(1/(3*x^4+7),x, algorithm=""giac"")","\frac{1}{84} \cdot 756^{\frac{1}{4}} \arctan\left(\frac{3}{14} \, \left(\frac{7}{3}\right)^{\frac{3}{4}} \sqrt{2} {\left(2 \, x + \left(\frac{7}{3}\right)^{\frac{1}{4}} \sqrt{2}\right)}\right) + \frac{1}{84} \cdot 756^{\frac{1}{4}} \arctan\left(\frac{3}{14} \, \left(\frac{7}{3}\right)^{\frac{3}{4}} \sqrt{2} {\left(2 \, x - \left(\frac{7}{3}\right)^{\frac{1}{4}} \sqrt{2}\right)}\right) + \frac{1}{168} \cdot 756^{\frac{1}{4}} \log\left(x^{2} + \left(\frac{7}{3}\right)^{\frac{1}{4}} \sqrt{2} x + \sqrt{\frac{7}{3}}\right) - \frac{1}{168} \cdot 756^{\frac{1}{4}} \log\left(x^{2} - \left(\frac{7}{3}\right)^{\frac{1}{4}} \sqrt{2} x + \sqrt{\frac{7}{3}}\right)"," ",0,"1/84*756^(1/4)*arctan(3/14*(7/3)^(3/4)*sqrt(2)*(2*x + (7/3)^(1/4)*sqrt(2))) + 1/84*756^(1/4)*arctan(3/14*(7/3)^(3/4)*sqrt(2)*(2*x - (7/3)^(1/4)*sqrt(2))) + 1/168*756^(1/4)*log(x^2 + (7/3)^(1/4)*sqrt(2)*x + sqrt(7/3)) - 1/168*756^(1/4)*log(x^2 - (7/3)^(1/4)*sqrt(2)*x + sqrt(7/3))","A",0
39,1,74,0,1.274813," ","integrate(1/(x^4+3*x^2-1),x, algorithm=""giac"")","-\frac{1}{26} \, \sqrt{26 \, \sqrt{13} - 78} \arctan\left(\frac{x}{\sqrt{\frac{1}{2} \, \sqrt{13} + \frac{3}{2}}}\right) - \frac{1}{52} \, \sqrt{26 \, \sqrt{13} + 78} \log\left({\left| x + \sqrt{\frac{1}{2} \, \sqrt{13} - \frac{3}{2}} \right|}\right) + \frac{1}{52} \, \sqrt{26 \, \sqrt{13} + 78} \log\left({\left| x - \sqrt{\frac{1}{2} \, \sqrt{13} - \frac{3}{2}} \right|}\right)"," ",0,"-1/26*sqrt(26*sqrt(13) - 78)*arctan(x/sqrt(1/2*sqrt(13) + 3/2)) - 1/52*sqrt(26*sqrt(13) + 78)*log(abs(x + sqrt(1/2*sqrt(13) - 3/2))) + 1/52*sqrt(26*sqrt(13) + 78)*log(abs(x - sqrt(1/2*sqrt(13) - 3/2)))","A",0
40,1,74,0,1.465454," ","integrate(1/(x^4-3*x^2-1),x, algorithm=""giac"")","-\frac{1}{26} \, \sqrt{26 \, \sqrt{13} + 78} \arctan\left(\frac{x}{\sqrt{\frac{1}{2} \, \sqrt{13} - \frac{3}{2}}}\right) - \frac{1}{52} \, \sqrt{26 \, \sqrt{13} - 78} \log\left({\left| x + \sqrt{\frac{1}{2} \, \sqrt{13} + \frac{3}{2}} \right|}\right) + \frac{1}{52} \, \sqrt{26 \, \sqrt{13} - 78} \log\left({\left| x - \sqrt{\frac{1}{2} \, \sqrt{13} + \frac{3}{2}} \right|}\right)"," ",0,"-1/26*sqrt(26*sqrt(13) + 78)*arctan(x/sqrt(1/2*sqrt(13) - 3/2)) - 1/52*sqrt(26*sqrt(13) - 78)*log(abs(x + sqrt(1/2*sqrt(13) + 3/2))) + 1/52*sqrt(26*sqrt(13) - 78)*log(abs(x - sqrt(1/2*sqrt(13) + 3/2)))","A",0
41,1,81,0,1.281671," ","integrate(1/(x^4-3*x^2+1),x, algorithm=""giac"")","-\frac{1}{20} \, \sqrt{5} \log\left(\frac{{\left| 2 \, x - \sqrt{5} + 1 \right|}}{{\left| 2 \, x + \sqrt{5} + 1 \right|}}\right) - \frac{1}{20} \, \sqrt{5} \log\left(\frac{{\left| 2 \, x - \sqrt{5} - 1 \right|}}{{\left| 2 \, x + \sqrt{5} - 1 \right|}}\right) - \frac{1}{4} \, \log\left({\left| x^{2} + x - 1 \right|}\right) + \frac{1}{4} \, \log\left({\left| x^{2} - x - 1 \right|}\right)"," ",0,"-1/20*sqrt(5)*log(abs(2*x - sqrt(5) + 1)/abs(2*x + sqrt(5) + 1)) - 1/20*sqrt(5)*log(abs(2*x - sqrt(5) - 1)/abs(2*x + sqrt(5) - 1)) - 1/4*log(abs(x^2 + x - 1)) + 1/4*log(abs(x^2 - x - 1))","A",0
42,1,101,0,1.231832," ","integrate(1/(x^4-4*x^2+1),x, algorithm=""giac"")","\frac{1}{24} \, {\left(\sqrt{6} - 3 \, \sqrt{2}\right)} \log\left({\left| x + \frac{1}{2} \, \sqrt{6} + \frac{1}{2} \, \sqrt{2} \right|}\right) + \frac{1}{24} \, {\left(\sqrt{6} + 3 \, \sqrt{2}\right)} \log\left({\left| x + \frac{1}{2} \, \sqrt{6} - \frac{1}{2} \, \sqrt{2} \right|}\right) - \frac{1}{24} \, {\left(\sqrt{6} + 3 \, \sqrt{2}\right)} \log\left({\left| x - \frac{1}{2} \, \sqrt{6} + \frac{1}{2} \, \sqrt{2} \right|}\right) - \frac{1}{24} \, {\left(\sqrt{6} - 3 \, \sqrt{2}\right)} \log\left({\left| x - \frac{1}{2} \, \sqrt{6} - \frac{1}{2} \, \sqrt{2} \right|}\right)"," ",0,"1/24*(sqrt(6) - 3*sqrt(2))*log(abs(x + 1/2*sqrt(6) + 1/2*sqrt(2))) + 1/24*(sqrt(6) + 3*sqrt(2))*log(abs(x + 1/2*sqrt(6) - 1/2*sqrt(2))) - 1/24*(sqrt(6) + 3*sqrt(2))*log(abs(x - 1/2*sqrt(6) + 1/2*sqrt(2))) - 1/24*(sqrt(6) - 3*sqrt(2))*log(abs(x - 1/2*sqrt(6) - 1/2*sqrt(2)))","A",0
43,1,51,0,1.152994," ","integrate(1/(x^4+4*x^2+1),x, algorithm=""giac"")","\frac{1}{12} \, {\left(\sqrt{6} - 3 \, \sqrt{2}\right)} \arctan\left(\frac{2 \, x}{\sqrt{6} + \sqrt{2}}\right) + \frac{1}{12} \, {\left(\sqrt{6} + 3 \, \sqrt{2}\right)} \arctan\left(\frac{2 \, x}{\sqrt{6} - \sqrt{2}}\right)"," ",0,"1/12*(sqrt(6) - 3*sqrt(2))*arctan(2*x/(sqrt(6) + sqrt(2))) + 1/12*(sqrt(6) + 3*sqrt(2))*arctan(2*x/(sqrt(6) - sqrt(2)))","A",0
44,1,248,0,1.811891," ","integrate(1/(x^4+x^2+2),x, algorithm=""giac"")","\frac{1}{224} \, \sqrt{7} {\left(2 \, \sqrt{7} 2^{\frac{3}{4}} \sqrt{\sqrt{2} + 4} - 2^{\frac{1}{4}} \sqrt{-8 \, \sqrt{2} + 32}\right)} \arctan\left(\frac{2 \cdot 2^{\frac{3}{4}} \sqrt{\frac{1}{2}} {\left(x + 2^{\frac{1}{4}} \sqrt{-\frac{1}{8} \, \sqrt{2} + \frac{1}{2}}\right)}}{\sqrt{\sqrt{2} + 4}}\right) + \frac{1}{224} \, \sqrt{7} {\left(2 \, \sqrt{7} 2^{\frac{3}{4}} \sqrt{\sqrt{2} + 4} - 2^{\frac{1}{4}} \sqrt{-8 \, \sqrt{2} + 32}\right)} \arctan\left(\frac{2 \cdot 2^{\frac{3}{4}} \sqrt{\frac{1}{2}} {\left(x - 2^{\frac{1}{4}} \sqrt{-\frac{1}{8} \, \sqrt{2} + \frac{1}{2}}\right)}}{\sqrt{\sqrt{2} + 4}}\right) + \frac{1}{448} \, \sqrt{7} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{\sqrt{2} + 4} + \sqrt{7} 2^{\frac{1}{4}} \sqrt{-8 \, \sqrt{2} + 32}\right)} \log\left(x^{2} + 2 \cdot 2^{\frac{1}{4}} x \sqrt{-\frac{1}{8} \, \sqrt{2} + \frac{1}{2}} + \sqrt{2}\right) - \frac{1}{448} \, \sqrt{7} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{\sqrt{2} + 4} + \sqrt{7} 2^{\frac{1}{4}} \sqrt{-8 \, \sqrt{2} + 32}\right)} \log\left(x^{2} - 2 \cdot 2^{\frac{1}{4}} x \sqrt{-\frac{1}{8} \, \sqrt{2} + \frac{1}{2}} + \sqrt{2}\right)"," ",0,"1/224*sqrt(7)*(2*sqrt(7)*2^(3/4)*sqrt(sqrt(2) + 4) - 2^(1/4)*sqrt(-8*sqrt(2) + 32))*arctan(2*2^(3/4)*sqrt(1/2)*(x + 2^(1/4)*sqrt(-1/8*sqrt(2) + 1/2))/sqrt(sqrt(2) + 4)) + 1/224*sqrt(7)*(2*sqrt(7)*2^(3/4)*sqrt(sqrt(2) + 4) - 2^(1/4)*sqrt(-8*sqrt(2) + 32))*arctan(2*2^(3/4)*sqrt(1/2)*(x - 2^(1/4)*sqrt(-1/8*sqrt(2) + 1/2))/sqrt(sqrt(2) + 4)) + 1/448*sqrt(7)*(2*2^(3/4)*sqrt(sqrt(2) + 4) + sqrt(7)*2^(1/4)*sqrt(-8*sqrt(2) + 32))*log(x^2 + 2*2^(1/4)*x*sqrt(-1/8*sqrt(2) + 1/2) + sqrt(2)) - 1/448*sqrt(7)*(2*2^(3/4)*sqrt(sqrt(2) + 4) + sqrt(7)*2^(1/4)*sqrt(-8*sqrt(2) + 32))*log(x^2 - 2*2^(1/4)*x*sqrt(-1/8*sqrt(2) + 1/2) + sqrt(2))","A",0
45,1,252,0,1.998739," ","integrate(1/(x^4-x^2+2),x, algorithm=""giac"")","\frac{1}{224} \, \sqrt{7} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{\sqrt{2} + 4} + \sqrt{7} 2^{\frac{1}{4}} \sqrt{-8 \, \sqrt{2} + 32}\right)} \arctan\left(\frac{2^{\frac{3}{4}} {\left(2^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 4} + 2 \, x\right)}}{4 \, \sqrt{-\frac{1}{8} \, \sqrt{2} + \frac{1}{2}}}\right) + \frac{1}{224} \, \sqrt{7} {\left(2 \cdot 2^{\frac{3}{4}} \sqrt{\sqrt{2} + 4} + \sqrt{7} 2^{\frac{1}{4}} \sqrt{-8 \, \sqrt{2} + 32}\right)} \arctan\left(-\frac{2^{\frac{3}{4}} {\left(2^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{\sqrt{2} + 4} - 2 \, x\right)}}{4 \, \sqrt{-\frac{1}{8} \, \sqrt{2} + \frac{1}{2}}}\right) + \frac{1}{448} \, \sqrt{7} {\left(2 \, \sqrt{7} 2^{\frac{3}{4}} \sqrt{\sqrt{2} + 4} - 2^{\frac{1}{4}} \sqrt{-8 \, \sqrt{2} + 32}\right)} \log\left(2^{\frac{1}{4}} \sqrt{\frac{1}{2}} x \sqrt{\sqrt{2} + 4} + x^{2} + \sqrt{2}\right) - \frac{1}{448} \, \sqrt{7} {\left(2 \, \sqrt{7} 2^{\frac{3}{4}} \sqrt{\sqrt{2} + 4} - 2^{\frac{1}{4}} \sqrt{-8 \, \sqrt{2} + 32}\right)} \log\left(-2^{\frac{1}{4}} \sqrt{\frac{1}{2}} x \sqrt{\sqrt{2} + 4} + x^{2} + \sqrt{2}\right)"," ",0,"1/224*sqrt(7)*(2*2^(3/4)*sqrt(sqrt(2) + 4) + sqrt(7)*2^(1/4)*sqrt(-8*sqrt(2) + 32))*arctan(1/4*2^(3/4)*(2^(1/4)*sqrt(1/2)*sqrt(sqrt(2) + 4) + 2*x)/sqrt(-1/8*sqrt(2) + 1/2)) + 1/224*sqrt(7)*(2*2^(3/4)*sqrt(sqrt(2) + 4) + sqrt(7)*2^(1/4)*sqrt(-8*sqrt(2) + 32))*arctan(-1/4*2^(3/4)*(2^(1/4)*sqrt(1/2)*sqrt(sqrt(2) + 4) - 2*x)/sqrt(-1/8*sqrt(2) + 1/2)) + 1/448*sqrt(7)*(2*sqrt(7)*2^(3/4)*sqrt(sqrt(2) + 4) - 2^(1/4)*sqrt(-8*sqrt(2) + 32))*log(2^(1/4)*sqrt(1/2)*x*sqrt(sqrt(2) + 4) + x^2 + sqrt(2)) - 1/448*sqrt(7)*(2*sqrt(7)*2^(3/4)*sqrt(sqrt(2) + 4) - 2^(1/4)*sqrt(-8*sqrt(2) + 32))*log(-2^(1/4)*sqrt(1/2)*x*sqrt(sqrt(2) + 4) + x^2 + sqrt(2))","A",0
46,1,67,0,1.123823," ","integrate(1/(x^6-1),x, algorithm=""giac"")","-\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({\left| x + 1 \right|}\right) + \frac{1}{6} \, \log\left({\left| x - 1 \right|}\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(abs(x + 1)) + 1/6*log(abs(x - 1))","A",0
47,1,114,0,1.306390," ","integrate(1/(x^6-2),x, algorithm=""giac"")","-\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({\left| x + 2^{\frac{1}{6}} \right|}\right) + \frac{1}{12} \cdot 2^{\frac{1}{6}} \log\left({\left| x - 2^{\frac{1}{6}} \right|}\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(abs(x + 2^(1/6))) + 1/12*2^(1/6)*log(abs(x - 2^(1/6)))","A",0
48,1,107,0,1.250398," ","integrate(1/(x^6+2),x, algorithm=""giac"")","\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
49,1,239,0,1.034880," ","integrate(1/(x^8+1),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{2 \, x + \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2}}\right) + \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{2 \, x - \sqrt{-\sqrt{2} + 2}}{\sqrt{\sqrt{2} + 2}}\right) + \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{2 \, x + \sqrt{\sqrt{2} + 2}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{2 \, x - \sqrt{\sqrt{2} + 2}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \log\left(x^{2} + x \sqrt{\sqrt{2} + 2} + 1\right) - \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \log\left(x^{2} - x \sqrt{\sqrt{2} + 2} + 1\right) + \frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \log\left(x^{2} + x \sqrt{-\sqrt{2} + 2} + 1\right) - \frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \log\left(x^{2} - x \sqrt{-\sqrt{2} + 2} + 1\right)"," ",0,"1/8*sqrt(sqrt(2) + 2)*arctan((2*x + sqrt(-sqrt(2) + 2))/sqrt(sqrt(2) + 2)) + 1/8*sqrt(sqrt(2) + 2)*arctan((2*x - sqrt(-sqrt(2) + 2))/sqrt(sqrt(2) + 2)) + 1/8*sqrt(-sqrt(2) + 2)*arctan((2*x + sqrt(sqrt(2) + 2))/sqrt(-sqrt(2) + 2)) + 1/8*sqrt(-sqrt(2) + 2)*arctan((2*x - sqrt(sqrt(2) + 2))/sqrt(-sqrt(2) + 2)) + 1/16*sqrt(sqrt(2) + 2)*log(x^2 + x*sqrt(sqrt(2) + 2) + 1) - 1/16*sqrt(sqrt(2) + 2)*log(x^2 - x*sqrt(sqrt(2) + 2) + 1) + 1/16*sqrt(-sqrt(2) + 2)*log(x^2 + x*sqrt(-sqrt(2) + 2) + 1) - 1/16*sqrt(-sqrt(2) + 2)*log(x^2 - x*sqrt(-sqrt(2) + 2) + 1)","A",0
50,1,90,0,0.959481," ","integrate(1/(x^8-1),x, algorithm=""giac"")","-\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({\left| x + 1 \right|}\right) + \frac{1}{8} \, \log\left({\left| x - 1 \right|}\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(abs(x + 1)) + 1/8*log(abs(x - 1))","A",0
51,1,205,0,1.060062," ","integrate(1/(x^8-x^4+1),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{6} \arctan\left(\frac{4 \, x + \sqrt{6} - \sqrt{2}}{\sqrt{6} + \sqrt{2}}\right) + \frac{1}{12} \, \sqrt{6} \arctan\left(\frac{4 \, x - \sqrt{6} + \sqrt{2}}{\sqrt{6} + \sqrt{2}}\right) + \frac{1}{12} \, \sqrt{6} \arctan\left(\frac{4 \, x + \sqrt{6} + \sqrt{2}}{\sqrt{6} - \sqrt{2}}\right) + \frac{1}{12} \, \sqrt{6} \arctan\left(\frac{4 \, x - \sqrt{6} - \sqrt{2}}{\sqrt{6} - \sqrt{2}}\right) + \frac{1}{24} \, \sqrt{6} \log\left(x^{2} + \frac{1}{2} \, x {\left(\sqrt{6} + \sqrt{2}\right)} + 1\right) - \frac{1}{24} \, \sqrt{6} \log\left(x^{2} - \frac{1}{2} \, x {\left(\sqrt{6} + \sqrt{2}\right)} + 1\right) + \frac{1}{24} \, \sqrt{6} \log\left(x^{2} + \frac{1}{2} \, x {\left(\sqrt{6} - \sqrt{2}\right)} + 1\right) - \frac{1}{24} \, \sqrt{6} \log\left(x^{2} - \frac{1}{2} \, x {\left(\sqrt{6} - \sqrt{2}\right)} + 1\right)"," ",0,"1/12*sqrt(6)*arctan((4*x + sqrt(6) - sqrt(2))/(sqrt(6) + sqrt(2))) + 1/12*sqrt(6)*arctan((4*x - sqrt(6) + sqrt(2))/(sqrt(6) + sqrt(2))) + 1/12*sqrt(6)*arctan((4*x + sqrt(6) + sqrt(2))/(sqrt(6) - sqrt(2))) + 1/12*sqrt(6)*arctan((4*x - sqrt(6) - sqrt(2))/(sqrt(6) - sqrt(2))) + 1/24*sqrt(6)*log(x^2 + 1/2*x*(sqrt(6) + sqrt(2)) + 1) - 1/24*sqrt(6)*log(x^2 - 1/2*x*(sqrt(6) + sqrt(2)) + 1) + 1/24*sqrt(6)*log(x^2 + 1/2*x*(sqrt(6) - sqrt(2)) + 1) - 1/24*sqrt(6)*log(x^2 - 1/2*x*(sqrt(6) - sqrt(2)) + 1)","A",0
52,1,40,0,1.133517," ","integrate(x^7/(x^12+1),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) + \frac{1}{24} \, \log\left(x^{8} - x^{4} + 1\right) - \frac{1}{12} \, \log\left(x^{4} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) + 1/24*log(x^8 - x^4 + 1) - 1/12*log(x^4 + 1)","A",0
53,1,8,0,1.070324," ","integrate(log(x),x, algorithm=""giac"")","x \log\left(x\right) - x"," ",0,"x*log(x) - x","A",0
54,1,13,0,1.103920," ","integrate(x*log(x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(x\right) - \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x) - 1/4*x^2","A",0
55,1,13,0,1.106411," ","integrate(x^2*log(x),x, algorithm=""giac"")","\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
56,0,0,0,0.000000," ","integrate(x^p*log(x),x, algorithm=""giac"")","\int x^{p} \log\left(x\right)\,{d x}"," ",0,"integrate(x^p*log(x), x)","F",0
57,1,15,0,0.914051," ","integrate(log(x)^2,x, algorithm=""giac"")","x \log\left(x\right)^{2} - 2 \, x \log\left(x\right) + 2 \, x"," ",0,"x*log(x)^2 - 2*x*log(x) + 2*x","A",0
58,1,103,0,1.023536," ","integrate(x^9*log(x)^11,x, algorithm=""giac"")","\frac{1}{10} \, x^{10} \log\left(x\right)^{11} - \frac{11}{100} \, x^{10} \log\left(x\right)^{10} + \frac{11}{100} \, x^{10} \log\left(x\right)^{9} - \frac{99}{1000} \, x^{10} \log\left(x\right)^{8} + \frac{99}{1250} \, x^{10} \log\left(x\right)^{7} - \frac{693}{12500} \, x^{10} \log\left(x\right)^{6} + \frac{2079}{62500} \, x^{10} \log\left(x\right)^{5} - \frac{2079}{125000} \, x^{10} \log\left(x\right)^{4} + \frac{2079}{312500} \, x^{10} \log\left(x\right)^{3} - \frac{6237}{3125000} \, x^{10} \log\left(x\right)^{2} + \frac{6237}{15625000} \, x^{10} \log\left(x\right) - \frac{6237}{156250000} \, x^{10}"," ",0,"1/10*x^10*log(x)^11 - 11/100*x^10*log(x)^10 + 11/100*x^10*log(x)^9 - 99/1000*x^10*log(x)^8 + 99/1250*x^10*log(x)^7 - 693/12500*x^10*log(x)^6 + 2079/62500*x^10*log(x)^5 - 2079/125000*x^10*log(x)^4 + 2079/312500*x^10*log(x)^3 - 6237/3125000*x^10*log(x)^2 + 6237/15625000*x^10*log(x) - 6237/156250000*x^10","A",0
59,1,6,0,1.071260," ","integrate(log(x)^2/x,x, algorithm=""giac"")","\frac{1}{3} \, \log\left(x\right)^{3}"," ",0,"1/3*log(x)^3","A",0
60,1,3,0,1.174509," ","integrate(1/log(x),x, algorithm=""giac"")","{\rm Ei}\left(\log\left(x\right)\right)"," ",0,"Ei(log(x))","A",0
61,1,5,0,1.096287," ","integrate(1/log(1+x),x, algorithm=""giac"")","{\rm Ei}\left(\log\left(x + 1\right)\right)"," ",0,"Ei(log(x + 1))","A",0
62,1,4,0,1.229668," ","integrate(1/x/log(x),x, algorithm=""giac"")","\log\left({\left| \log\left(x\right) \right|}\right)"," ",0,"log(abs(log(x)))","A",0
63,0,0,0,0.000000," ","integrate(1/x^2/log(x)^2,x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left(x\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^2*log(x)^2), x)","F",0
64,1,12,0,1.226882," ","integrate(log(x)^p/x,x, algorithm=""giac"")","\frac{\log\left(x\right)^{p + 1}}{p + 1}"," ",0,"log(x)^(p + 1)/(p + 1)","A",0
65,1,24,0,1.184247," ","integrate((a*x+b)*log(x),x, algorithm=""giac"")","\frac{1}{2} \, a x^{2} \log\left(x\right) - \frac{1}{4} \, a x^{2} + b x \log\left(x\right) - b x"," ",0,"1/2*a*x^2*log(x) - 1/4*a*x^2 + b*x*log(x) - b*x","A",0
66,1,47,0,1.101921," ","integrate((a*x+b)^2*log(x),x, algorithm=""giac"")","\frac{1}{3} \, a^{2} x^{3} \log\left(x\right) - \frac{1}{9} \, a^{2} x^{3} + a b x^{2} \log\left(x\right) - \frac{1}{2} \, a b x^{2} + b^{2} x \log\left(x\right) - b^{2} x"," ",0,"1/3*a^2*x^3*log(x) - 1/9*a^2*x^3 + a*b*x^2*log(x) - 1/2*a*b*x^2 + b^2*x*log(x) - b^2*x","A",0
67,1,138,0,1.194031," ","integrate(log(x)/(a*x+b)^2,x, algorithm=""giac"")","a^{2} {\left(\frac{\log\left(\frac{{\left(a x + b\right)}^{2} {\left| a \right|} {\left| \frac{b}{a x + b} - 1 \right|}}{a^{2} {\left| a x + b \right|}}\right)}{a^{3} b} + \frac{\log\left(-\frac{b + \frac{{\left(a x + b\right)} a {\left(\frac{b}{a x + b} - 1\right)} - a b}{a}}{a}\right)}{{\left({\left(a x + b\right)} {\left(\frac{b}{a x + b} - 1\right)} - b\right)} a^{3}} - \frac{\log\left({\left| -{\left(a x + b\right)} {\left(\frac{b}{a x + b} - 1\right)} + b \right|}\right)}{a^{3} b}\right)}"," ",0,"a^2*(log((a*x + b)^2*abs(a)*abs(b/(a*x + b) - 1)/(a^2*abs(a*x + b)))/(a^3*b) + log(-(b + ((a*x + b)*a*(b/(a*x + b) - 1) - a*b)/a)/a)/(((a*x + b)*(b/(a*x + b) - 1) - b)*a^3) - log(abs(-(a*x + b)*(b/(a*x + b) - 1) + b))/(a^3*b))","B",0
68,1,58,0,1.315710," ","integrate(x*log(a*x+b),x, algorithm=""giac"")","\frac{{\left(a x + b\right)}^{2} \log\left(a x + b\right)}{2 \, a^{2}} - \frac{{\left(a x + b\right)} b \log\left(a x + b\right)}{a^{2}} - \frac{{\left(a x + b\right)}^{2}}{4 \, a^{2}} + \frac{{\left(a x + b\right)} b}{a^{2}}"," ",0,"1/2*(a*x + b)^2*log(a*x + b)/a^2 - (a*x + b)*b*log(a*x + b)/a^2 - 1/4*(a*x + b)^2/a^2 + (a*x + b)*b/a^2","A",0
69,1,94,0,1.266235," ","integrate(x^2*log(a*x+b),x, algorithm=""giac"")","\frac{{\left(a x + b\right)}^{3} \log\left(a x + b\right)}{3 \, a^{3}} - \frac{{\left(a x + b\right)}^{2} b \log\left(a x + b\right)}{a^{3}} + \frac{{\left(a x + b\right)} b^{2} \log\left(a x + b\right)}{a^{3}} - \frac{{\left(a x + b\right)}^{3}}{9 \, a^{3}} + \frac{{\left(a x + b\right)}^{2} b}{2 \, a^{3}} - \frac{{\left(a x + b\right)} b^{2}}{a^{3}}"," ",0,"1/3*(a*x + b)^3*log(a*x + b)/a^3 - (a*x + b)^2*b*log(a*x + b)/a^3 + (a*x + b)*b^2*log(a*x + b)/a^3 - 1/9*(a*x + b)^3/a^3 + 1/2*(a*x + b)^2*b/a^3 - (a*x + b)*b^2/a^3","A",0
70,1,23,0,1.167168," ","integrate(log(a^2+x^2),x, algorithm=""giac"")","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
71,1,28,0,1.072234," ","integrate(x*log(a^2+x^2),x, algorithm=""giac"")","-\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
72,1,36,0,1.035755," ","integrate(x^2*log(a^2+x^2),x, algorithm=""giac"")","-\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
73,1,44,0,0.995744," ","integrate(x^4*log(a^2+x^2),x, algorithm=""giac"")","\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
74,1,33,0,1.224912," ","integrate(log(-a^2+x^2),x, algorithm=""giac"")","x \log\left(-a^{2} + x^{2}\right) + a \log\left({\left| a + x \right|}\right) - a \log\left({\left| -a + x \right|}\right) - 2 \, x"," ",0,"x*log(-a^2 + x^2) + a*log(abs(a + x)) - a*log(abs(-a + x)) - 2*x","A",0
75,0,0,0,0.000000," ","integrate(log(log(log(log(x)))),x, algorithm=""giac"")","\int \log\left(\log\left(\log\left(\log\left(x\right)\right)\right)\right)\,{d x}"," ",0,"integrate(log(log(log(log(x)))), x)","F",0
76,1,4,0,1.030976," ","integrate(sin(x),x, algorithm=""giac"")","-\cos\left(x\right)"," ",0,"-cos(x)","A",0
77,1,2,0,0.958157," ","integrate(cos(x),x, algorithm=""giac"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
78,1,6,0,1.044547," ","integrate(tan(x),x, algorithm=""giac"")","-\log\left({\left| \cos\left(x\right) \right|}\right)"," ",0,"-log(abs(cos(x)))","A",0
79,1,17,0,1.129994," ","integrate(1/tan(x),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(\tan\left(x\right)^{2} + 1\right) + \frac{1}{2} \, \log\left(\tan\left(x\right)^{2}\right)"," ",0,"-1/2*log(tan(x)^2 + 1) + 1/2*log(tan(x)^2)","B",0
80,1,26,0,1.173706," ","integrate(1/(1+tan(x))^2,x, algorithm=""giac"")","-\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({\left| \tan\left(x\right) + 1 \right|}\right)"," ",0,"-1/2/(tan(x) + 1) - 1/4*log(tan(x)^2 + 1) + 1/2*log(abs(tan(x) + 1))","A",0
81,1,17,0,1.128933," ","integrate(1/cos(x),x, algorithm=""giac"")","\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
82,1,17,0,1.181314," ","integrate(1/sin(x),x, algorithm=""giac"")","-\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
83,1,10,0,1.197454," ","integrate(sin(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x - 1/4*sin(2*x)","A",0
84,1,16,0,1.036554," ","integrate(x^3*sin(x^2),x, algorithm=""giac"")","-\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
85,1,11,0,0.943691," ","integrate(sin(x)^3,x, algorithm=""giac"")","\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=""giac"")","\int \sin\left(x\right)^{p}\,{d x}"," ",0,"integrate(sin(x)^p, x)","F",0
87,1,15,0,1.049714," ","integrate(cos(x)*(1+sin(x)^2)^2,x, algorithm=""giac"")","\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
88,1,10,0,1.067696," ","integrate(cos(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x + 1/4*sin(2*x)","A",0
89,1,9,0,1.082133," ","integrate(cos(x)^3,x, algorithm=""giac"")","-\frac{1}{3} \, \sin\left(x\right)^{3} + \sin\left(x\right)"," ",0,"-1/3*sin(x)^3 + sin(x)","A",0
90,1,2,0,1.312606," ","integrate(1/cos(x)^2,x, algorithm=""giac"")","\tan\left(x\right)"," ",0,"tan(x)","A",0
91,1,6,0,1.141277," ","integrate(sin(x)*sin(2*x),x, algorithm=""giac"")","\frac{2}{3} \, \sin\left(x\right)^{3}"," ",0,"2/3*sin(x)^3","A",0
92,1,8,0,1.007212," ","integrate(x*sin(x),x, algorithm=""giac"")","-x \cos\left(x\right) + \sin\left(x\right)"," ",0,"-x*cos(x) + sin(x)","A",0
93,1,15,0,1.318913," ","integrate(x^2*sin(x),x, algorithm=""giac"")","-{\left(x^{2} - 2\right)} \cos\left(x\right) + 2 \, x \sin\left(x\right)"," ",0,"-(x^2 - 2)*cos(x) + 2*x*sin(x)","A",0
94,1,19,0,1.155371," ","integrate(x*sin(x)^2,x, algorithm=""giac"")","\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
95,1,26,0,1.006307," ","integrate(x^2*sin(x)^2,x, algorithm=""giac"")","\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
96,1,23,0,1.051461," ","integrate(x*sin(x)^3,x, algorithm=""giac"")","\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
97,1,7,0,1.242707," ","integrate(x*cos(x),x, algorithm=""giac"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
98,1,14,0,1.214671," ","integrate(x^2*cos(x),x, algorithm=""giac"")","2 \, x \cos\left(x\right) + {\left(x^{2} - 2\right)} \sin\left(x\right)"," ",0,"2*x*cos(x) + (x^2 - 2)*sin(x)","A",0
99,1,19,0,1.064943," ","integrate(x*cos(x)^2,x, algorithm=""giac"")","\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
100,1,26,0,1.396050," ","integrate(x^2*cos(x)^2,x, algorithm=""giac"")","\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
101,1,23,0,1.381059," ","integrate(x*cos(x)^3,x, algorithm=""giac"")","\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
102,1,2,0,1.393290," ","integrate(sin(x)/x,x, algorithm=""giac"")","\operatorname{Si}\left(x\right)"," ",0,"sin_integral(x)","A",0
103,1,2,0,1.301680," ","integrate(cos(x)/x,x, algorithm=""giac"")","\operatorname{Ci}\left(x\right)"," ",0,"cos_integral(x)","A",0
104,1,13,0,1.276083," ","integrate(sin(x)/x^2,x, algorithm=""giac"")","\frac{x \operatorname{Ci}\left(x\right) - \sin\left(x\right)}{x}"," ",0,"(x*cos_integral(x) - sin(x))/x","A",0
105,1,11,0,1.130618," ","integrate(sin(x)^2/x,x, algorithm=""giac"")","-\frac{1}{2} \, \operatorname{Ci}\left(2 \, x\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-1/2*cos_integral(2*x) + 1/2*log(x)","A",0
106,1,16,0,0.994416," ","integrate(tan(x)^3,x, algorithm=""giac"")","\frac{1}{2} \, \tan\left(x\right)^{2} - \frac{1}{2} \, \log\left(\tan\left(x\right)^{2} + 1\right)"," ",0,"1/2*tan(x)^2 - 1/2*log(tan(x)^2 + 1)","A",0
107,1,11,0,0.957588," ","integrate(sin(b*x+a),x, algorithm=""giac"")","-\frac{\cos\left(b x + a\right)}{b}"," ",0,"-cos(b*x + a)/b","A",0
108,1,10,0,0.921399," ","integrate(cos(b*x+a),x, algorithm=""giac"")","\frac{\sin\left(b x + a\right)}{b}"," ",0,"sin(b*x + a)/b","A",0
109,1,13,0,1.232048," ","integrate(tan(b*x+a),x, algorithm=""giac"")","-\frac{\log\left({\left| \cos\left(b x + a\right) \right|}\right)}{b}"," ",0,"-log(abs(cos(b*x + a)))/b","A",0
110,1,56,0,1.341201," ","integrate(1/tan(b*x+a),x, algorithm=""giac"")","\frac{\log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) - 2 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{2 \, b}"," ",0,"1/2*(log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) - 2*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
111,1,51,0,1.162750," ","integrate(1/sin(b*x+a),x, algorithm=""giac"")","\frac{\log\left({\left| -\frac{\cos\left(b x + a\right)}{b} + \frac{1}{{\left| b \right|}} \right|}\right)}{2 \, {\left| b \right|}} - \frac{\log\left({\left| -\frac{\cos\left(b x + a\right)}{b} - \frac{1}{{\left| b \right|}} \right|}\right)}{2 \, {\left| b \right|}}"," ",0,"1/2*log(abs(-cos(b*x + a)/b + 1/abs(b)))/abs(b) - 1/2*log(abs(-cos(b*x + a)/b - 1/abs(b)))/abs(b)","B",0
112,1,28,0,1.392618," ","integrate(1/cos(b*x+a),x, algorithm=""giac"")","\frac{\log\left({\left| \sin\left(b x + a\right) + 1 \right|}\right) - \log\left({\left| \sin\left(b x + a\right) - 1 \right|}\right)}{2 \, b}"," ",0,"1/2*(log(abs(sin(b*x + a) + 1)) - log(abs(sin(b*x + a) - 1)))/b","B",0
113,1,18,0,1.197110," ","integrate(sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{\sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"1/2*x - 1/4*sin(2*b*x + 2*a)/b","A",0
114,1,25,0,1.194984," ","integrate(sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\cos\left(b x + a\right)^{3}}{3 \, b} - \frac{\cos\left(b x + a\right)}{b}"," ",0,"1/3*cos(b*x + a)^3/b - cos(b*x + a)/b","A",0
115,1,18,0,1.063997," ","integrate(cos(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{\sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"1/2*x + 1/4*sin(2*b*x + 2*a)/b","A",0
116,1,22,0,1.042723," ","integrate(cos(b*x+a)^3,x, algorithm=""giac"")","-\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
117,1,10,0,0.964355," ","integrate(1/cos(b*x+a)^2,x, algorithm=""giac"")","\frac{\tan\left(b x + a\right)}{b}"," ",0,"tan(b*x + a)/b","A",0
118,1,30,0,1.172262," ","integrate(1/(1+cos(x)),x, algorithm=""giac"")","-\frac{2 \, \tan\left(\frac{1}{2} \, x\right)}{{\left(x^{2} + 1\right)} {\left(\frac{x^{2} - 1}{x^{2} + 1} - 1\right)}}"," ",0,"-2*tan(1/2*x)/((x^2 + 1)*((x^2 - 1)/(x^2 + 1) - 1))","B",0
119,1,8,0,0.983405," ","integrate(1/(1-cos(x)),x, algorithm=""giac"")","-\frac{1}{\tan\left(\frac{1}{2} \, x\right)}"," ",0,"-1/tan(1/2*x)","A",0
120,1,10,0,1.036947," ","integrate(1/(1+sin(x)),x, algorithm=""giac"")","-\frac{2}{\tan\left(\frac{1}{2} \, x\right) + 1}"," ",0,"-2/(tan(1/2*x) + 1)","A",0
121,1,10,0,1.242946," ","integrate(1/(1-sin(x)),x, algorithm=""giac"")","-\frac{2}{\tan\left(\frac{1}{2} \, x\right) - 1}"," ",0,"-2/(tan(1/2*x) - 1)","A",0
122,1,48,0,1.083331," ","integrate(1/(a+b*sin(x)),x, algorithm=""giac"")","\frac{2 \, {\left(\pi \left \lfloor \frac{x}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, x\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)}}{\sqrt{a^{2} - b^{2}}}"," ",0,"2*(pi*floor(1/2*x/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*x) + b)/sqrt(a^2 - b^2)))/sqrt(a^2 - b^2)","A",0
123,1,60,0,1.194495," ","integrate(1/(a+cos(x)+b*sin(x)),x, algorithm=""giac"")","\frac{2 \, {\left(\pi \left \lfloor \frac{x}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(2 \, a - 2\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, x\right) + b - \tan\left(\frac{1}{2} \, x\right)}{\sqrt{a^{2} - b^{2} - 1}}\right)\right)}}{\sqrt{a^{2} - b^{2} - 1}}"," ",0,"2*(pi*floor(1/2*x/pi + 1/2)*sgn(2*a - 2) + arctan((a*tan(1/2*x) + b - tan(1/2*x))/sqrt(a^2 - b^2 - 1)))/sqrt(a^2 - b^2 - 1)","A",0
124,1,45,0,1.177521," ","integrate(x^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{6} \, x^{3} - \frac{x \cos\left(2 \, b x + 2 \, a\right)}{4 \, b^{2}} - \frac{{\left(2 \, b^{2} x^{2} - 1\right)} \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{3}}"," ",0,"1/6*x^3 - 1/4*x*cos(2*b*x + 2*a)/b^2 - 1/8*(2*b^2*x^2 - 1)*sin(2*b*x + 2*a)/b^3","A",0
125,1,11,0,0.971776," ","integrate(cos(x)*cos(2*x),x, algorithm=""giac"")","\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
126,1,45,0,0.983764," ","integrate(x^2*cos(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{6} \, x^{3} + \frac{x \cos\left(2 \, b x + 2 \, a\right)}{4 \, b^{2}} + \frac{{\left(2 \, b^{2} x^{2} - 1\right)} \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{3}}"," ",0,"1/6*x^3 + 1/4*x*cos(2*b*x + 2*a)/b^2 + 1/8*(2*b^2*x^2 - 1)*sin(2*b*x + 2*a)/b^3","A",0
127,1,29,0,1.186979," ","integrate(1/tan(x)^3,x, algorithm=""giac"")","\frac{\tan\left(x\right)^{2} - 1}{2 \, \tan\left(x\right)^{2}} + \frac{1}{2} \, \log\left(\tan\left(x\right)^{2} + 1\right) - \frac{1}{2} \, \log\left(\tan\left(x\right)^{2}\right)"," ",0,"1/2*(tan(x)^2 - 1)/tan(x)^2 + 1/2*log(tan(x)^2 + 1) - 1/2*log(tan(x)^2)","B",0
128,0,0,0,0.000000," ","integrate(x^3*tan(x)^4,x, algorithm=""giac"")","\int x^{3} \tan\left(x\right)^{4}\,{d x}"," ",0,"integrate(x^3*tan(x)^4, x)","F",0
129,0,0,0,0.000000," ","integrate(x^3*tan(x)^6,x, algorithm=""giac"")","\int x^{3} \tan\left(x\right)^{6}\,{d x}"," ",0,"integrate(x^3*tan(x)^6, x)","F",0
130,1,23,0,1.204465," ","integrate(x*tan(x)^2,x, algorithm=""giac"")","-\frac{1}{2} \, x^{2} + x \tan\left(x\right) + \frac{1}{2} \, \log\left(\frac{4}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"-1/2*x^2 + x*tan(x) + 1/2*log(4/(tan(x)^2 + 1))","A",0
131,1,11,0,1.019334," ","integrate(cos(3*x)*sin(2*x),x, algorithm=""giac"")","-\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
132,1,10,0,1.118876," ","integrate(cos(x)^2*sin(x)^2,x, algorithm=""giac"")","\frac{1}{8} \, x - \frac{1}{32} \, \sin\left(4 \, x\right)"," ",0,"1/8*x - 1/32*sin(4*x)","A",0
133,1,9,0,1.115026," ","integrate(1/cos(x)^2/sin(x)^2,x, algorithm=""giac"")","-\frac{1}{\tan\left(x\right)} + \tan\left(x\right)"," ",0,"-1/tan(x) + tan(x)","A",0
134,1,328,0,1.327828," ","integrate(d^x*sin(x),x, algorithm=""giac"")","{\left| d \right|}^{x} {\left(\frac{{\left(\pi - \pi \mathrm{sgn}\left(d\right) - 2\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right)}{{\left(\pi - \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, \log\left({\left| d \right|}\right)^{2}} + \frac{2 \, \log\left({\left| d \right|}\right) \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right)}{{\left(\pi - \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, \log\left({\left| d \right|}\right)^{2}}\right)} - {\left| d \right|}^{x} {\left(\frac{{\left(\pi - \pi \mathrm{sgn}\left(d\right) + 2\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right)}{{\left(\pi - \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, \log\left({\left| d \right|}\right)^{2}} + \frac{2 \, \log\left({\left| d \right|}\right) \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right)}{{\left(\pi - \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, \log\left({\left| d \right|}\right)^{2}}\right)} + \frac{1}{2} \, {\left| d \right|}^{x} {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x + i \, x\right)}}{-2 i \, \pi + 2 i \, \pi \mathrm{sgn}\left(d\right) + 4 \, \log\left({\left| d \right|}\right) + 4 i} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x - i \, x\right)}}{2 i \, \pi - 2 i \, \pi \mathrm{sgn}\left(d\right) + 4 \, \log\left({\left| d \right|}\right) - 4 i}\right)} + \frac{1}{2} \, {\left| d \right|}^{x} {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x - i \, x\right)}}{-2 i \, \pi + 2 i \, \pi \mathrm{sgn}\left(d\right) + 4 \, \log\left({\left| d \right|}\right) - 4 i} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x + i \, x\right)}}{2 i \, \pi - 2 i \, \pi \mathrm{sgn}\left(d\right) + 4 \, \log\left({\left| d \right|}\right) + 4 i}\right)}"," ",0,"abs(d)^x*((pi - pi*sgn(d) - 2)*cos(1/2*pi*x*sgn(d) - 1/2*pi*x + x)/((pi - pi*sgn(d) - 2)^2 + 4*log(abs(d))^2) + 2*log(abs(d))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x + x)/((pi - pi*sgn(d) - 2)^2 + 4*log(abs(d))^2)) - abs(d)^x*((pi - pi*sgn(d) + 2)*cos(1/2*pi*x*sgn(d) - 1/2*pi*x - x)/((pi - pi*sgn(d) + 2)^2 + 4*log(abs(d))^2) + 2*log(abs(d))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x - x)/((pi - pi*sgn(d) + 2)^2 + 4*log(abs(d))^2)) + 1/2*abs(d)^x*(2*I*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x + I*x)/(-2*I*pi + 2*I*pi*sgn(d) + 4*log(abs(d)) + 4*I) + 2*I*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x - I*x)/(2*I*pi - 2*I*pi*sgn(d) + 4*log(abs(d)) - 4*I)) + 1/2*abs(d)^x*(-2*I*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x - I*x)/(-2*I*pi + 2*I*pi*sgn(d) + 4*log(abs(d)) - 4*I) - 2*I*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x + I*x)/(2*I*pi - 2*I*pi*sgn(d) + 4*log(abs(d)) + 4*I))","C",0
135,1,329,0,1.178973," ","integrate(d^x*cos(x),x, algorithm=""giac"")","{\left| d \right|}^{x} {\left(\frac{2 \, \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right) \log\left({\left| d \right|}\right)}{{\left(\pi - \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, \log\left({\left| d \right|}\right)^{2}} - \frac{{\left(\pi - \pi \mathrm{sgn}\left(d\right) - 2\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right)}{{\left(\pi - \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, \log\left({\left| d \right|}\right)^{2}}\right)} + {\left| d \right|}^{x} {\left(\frac{2 \, \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right) \log\left({\left| d \right|}\right)}{{\left(\pi - \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, \log\left({\left| d \right|}\right)^{2}} - \frac{{\left(\pi - \pi \mathrm{sgn}\left(d\right) + 2\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right)}{{\left(\pi - \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, \log\left({\left| d \right|}\right)^{2}}\right)} - \frac{1}{2} i \, {\left| d \right|}^{x} {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x + i \, x\right)}}{-2 i \, \pi + 2 i \, \pi \mathrm{sgn}\left(d\right) + 4 \, \log\left({\left| d \right|}\right) + 4 i} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x - i \, x\right)}}{2 i \, \pi - 2 i \, \pi \mathrm{sgn}\left(d\right) + 4 \, \log\left({\left| d \right|}\right) - 4 i}\right)} - \frac{1}{2} i \, {\left| d \right|}^{x} {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x - i \, x\right)}}{-2 i \, \pi + 2 i \, \pi \mathrm{sgn}\left(d\right) + 4 \, \log\left({\left| d \right|}\right) - 4 i} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x + i \, x\right)}}{2 i \, \pi - 2 i \, \pi \mathrm{sgn}\left(d\right) + 4 \, \log\left({\left| d \right|}\right) + 4 i}\right)}"," ",0,"abs(d)^x*(2*cos(1/2*pi*x*sgn(d) - 1/2*pi*x + x)*log(abs(d))/((pi - pi*sgn(d) - 2)^2 + 4*log(abs(d))^2) - (pi - pi*sgn(d) - 2)*sin(1/2*pi*x*sgn(d) - 1/2*pi*x + x)/((pi - pi*sgn(d) - 2)^2 + 4*log(abs(d))^2)) + abs(d)^x*(2*cos(1/2*pi*x*sgn(d) - 1/2*pi*x - x)*log(abs(d))/((pi - pi*sgn(d) + 2)^2 + 4*log(abs(d))^2) - (pi - pi*sgn(d) + 2)*sin(1/2*pi*x*sgn(d) - 1/2*pi*x - x)/((pi - pi*sgn(d) + 2)^2 + 4*log(abs(d))^2)) - 1/2*I*abs(d)^x*(-2*I*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x + I*x)/(-2*I*pi + 2*I*pi*sgn(d) + 4*log(abs(d)) + 4*I) + 2*I*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x - I*x)/(2*I*pi - 2*I*pi*sgn(d) + 4*log(abs(d)) - 4*I)) - 1/2*I*abs(d)^x*(-2*I*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x - I*x)/(-2*I*pi + 2*I*pi*sgn(d) + 4*log(abs(d)) - 4*I) + 2*I*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x + I*x)/(2*I*pi - 2*I*pi*sgn(d) + 4*log(abs(d)) + 4*I))","C",0
136,1,1166,0,1.277776," ","integrate(d^x*x*sin(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left(\frac{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(\pi x \mathrm{sgn}\left(d\right) - \pi x + 2 \, x\right)}}{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)} {\left(x \log\left({\left| d \right|}\right) - 1\right)}}{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right) + 2 \, {\left(\frac{{\left(\pi x \mathrm{sgn}\left(d\right) - \pi x + 2 \, x\right)} {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(x \log\left({\left| d \right|}\right) - 1\right)}}{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right)\right)} {\left| d \right|}^{x} + \frac{1}{2} \, {\left({\left(\frac{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(\pi x \mathrm{sgn}\left(d\right) - \pi x - 2 \, x\right)}}{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)} {\left(x \log\left({\left| d \right|}\right) - 1\right)}}{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right) - 2 \, {\left(\frac{{\left(\pi x \mathrm{sgn}\left(d\right) - \pi x - 2 \, x\right)} {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(x \log\left({\left| d \right|}\right) - 1\right)}}{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right)\right)} {\left| d \right|}^{x} - \frac{1}{2} \, {\left| d \right|}^{x} {\left(\frac{{\left(2 \, \pi x \mathrm{sgn}\left(d\right) - 2 \, \pi x - 4 i \, x \log\left({\left| d \right|}\right) + 4 \, x + 4 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x + i \, x\right)}}{8 \, \pi + 4 \, \pi^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 4 \, \pi^{2} - 8 i \, \pi \log\left({\left| d \right|}\right) + 8 \, \log\left({\left| d \right|}\right)^{2} - 8 \, \pi \mathrm{sgn}\left(d\right) + 16 i \, \log\left({\left| d \right|}\right) - 8} - \frac{{\left(2 \, \pi x \mathrm{sgn}\left(d\right) - 2 \, \pi x + 4 i \, x \log\left({\left| d \right|}\right) + 4 \, x - 4 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x - i \, x\right)}}{8 \, \pi + 4 \, \pi^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 4 \, \pi^{2} + 8 i \, \pi \log\left({\left| d \right|}\right) + 8 \, \log\left({\left| d \right|}\right)^{2} - 8 \, \pi \mathrm{sgn}\left(d\right) - 16 i \, \log\left({\left| d \right|}\right) - 8}\right)} - \frac{1}{2} \, {\left| d \right|}^{x} {\left(\frac{{\left(2 \, \pi x \mathrm{sgn}\left(d\right) - 2 \, \pi x - 4 i \, x \log\left({\left| d \right|}\right) - 4 \, x + 4 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x - i \, x\right)}}{8 \, \pi - 4 \, \pi^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 \, \pi^{2} + 8 i \, \pi \log\left({\left| d \right|}\right) - 8 \, \log\left({\left| d \right|}\right)^{2} - 8 \, \pi \mathrm{sgn}\left(d\right) + 16 i \, \log\left({\left| d \right|}\right) + 8} - \frac{{\left(2 \, \pi x \mathrm{sgn}\left(d\right) - 2 \, \pi x + 4 i \, x \log\left({\left| d \right|}\right) - 4 \, x - 4 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x + i \, x\right)}}{8 \, \pi - 4 \, \pi^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 \, \pi^{2} - 8 i \, \pi \log\left({\left| d \right|}\right) - 8 \, \log\left({\left| d \right|}\right)^{2} - 8 \, \pi \mathrm{sgn}\left(d\right) - 16 i \, \log\left({\left| d \right|}\right) + 8}\right)}"," ",0,"1/2*(((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)*(pi*x*sgn(d) - pi*x + 2*x)/((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))^2) - 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))*(x*log(abs(d)) - 1)/((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x + x) + 2*((pi*x*sgn(d) - pi*x + 2*x)*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))/((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))^2) + (2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)*(x*log(abs(d)) - 1)/((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x + x))*abs(d)^x + 1/2*(((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)*(pi*x*sgn(d) - pi*x - 2*x)/((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))^2) + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))*(x*log(abs(d)) - 1)/((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x - x) - 2*((pi*x*sgn(d) - pi*x - 2*x)*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))/((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))^2) - (2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)*(x*log(abs(d)) - 1)/((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x - x))*abs(d)^x - 1/2*abs(d)^x*((2*pi*x*sgn(d) - 2*pi*x - 4*I*x*log(abs(d)) + 4*x + 4*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x + I*x)/(8*pi + 4*pi^2*sgn(d) + 8*I*pi*log(abs(d))*sgn(d) - 4*pi^2 - 8*I*pi*log(abs(d)) + 8*log(abs(d))^2 - 8*pi*sgn(d) + 16*I*log(abs(d)) - 8) - (2*pi*x*sgn(d) - 2*pi*x + 4*I*x*log(abs(d)) + 4*x - 4*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x - I*x)/(8*pi + 4*pi^2*sgn(d) - 8*I*pi*log(abs(d))*sgn(d) - 4*pi^2 + 8*I*pi*log(abs(d)) + 8*log(abs(d))^2 - 8*pi*sgn(d) - 16*I*log(abs(d)) - 8)) - 1/2*abs(d)^x*((2*pi*x*sgn(d) - 2*pi*x - 4*I*x*log(abs(d)) - 4*x + 4*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x - I*x)/(8*pi - 4*pi^2*sgn(d) - 8*I*pi*log(abs(d))*sgn(d) + 4*pi^2 + 8*I*pi*log(abs(d)) - 8*log(abs(d))^2 - 8*pi*sgn(d) + 16*I*log(abs(d)) + 8) - (2*pi*x*sgn(d) - 2*pi*x + 4*I*x*log(abs(d)) - 4*x - 4*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x + I*x)/(8*pi - 4*pi^2*sgn(d) + 8*I*pi*log(abs(d))*sgn(d) + 4*pi^2 - 8*I*pi*log(abs(d)) - 8*log(abs(d))^2 - 8*pi*sgn(d) - 16*I*log(abs(d)) + 8))","C",0
137,1,1165,0,1.288026," ","integrate(d^x*x*cos(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left(2 \, {\left(\frac{{\left(\pi x \mathrm{sgn}\left(d\right) - \pi x + 2 \, x\right)} {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(x \log\left({\left| d \right|}\right) - 1\right)}}{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right) - {\left(\frac{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(\pi x \mathrm{sgn}\left(d\right) - \pi x + 2 \, x\right)}}{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)} {\left(x \log\left({\left| d \right|}\right) - 1\right)}}{{\left(2 \, \pi + \pi^{2} \mathrm{sgn}\left(d\right) - \pi^{2} + 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right)\right)} {\left| d \right|}^{x} + \frac{1}{2} \, {\left(2 \, {\left(\frac{{\left(\pi x \mathrm{sgn}\left(d\right) - \pi x - 2 \, x\right)} {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(x \log\left({\left| d \right|}\right) - 1\right)}}{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right) + {\left(\frac{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(\pi x \mathrm{sgn}\left(d\right) - \pi x - 2 \, x\right)}}{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)} {\left(x \log\left({\left| d \right|}\right) - 1\right)}}{{\left(2 \, \pi - \pi^{2} \mathrm{sgn}\left(d\right) + \pi^{2} - 2 \, \log\left({\left| d \right|}\right)^{2} - 2 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 4 \, {\left(\pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right)\right)} {\left| d \right|}^{x} - \frac{1}{2} i \, {\left| d \right|}^{x} {\left(\frac{{\left(2 \, \pi x \mathrm{sgn}\left(d\right) - 2 \, \pi x - 4 i \, x \log\left({\left| d \right|}\right) + 4 \, x + 4 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x + i \, x\right)}}{8 \, \pi + 4 \, \pi^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 4 \, \pi^{2} - 8 i \, \pi \log\left({\left| d \right|}\right) + 8 \, \log\left({\left| d \right|}\right)^{2} - 8 \, \pi \mathrm{sgn}\left(d\right) + 16 i \, \log\left({\left| d \right|}\right) - 8} + \frac{{\left(2 \, \pi x \mathrm{sgn}\left(d\right) - 2 \, \pi x + 4 i \, x \log\left({\left| d \right|}\right) + 4 \, x - 4 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x - i \, x\right)}}{8 \, \pi + 4 \, \pi^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 4 \, \pi^{2} + 8 i \, \pi \log\left({\left| d \right|}\right) + 8 \, \log\left({\left| d \right|}\right)^{2} - 8 \, \pi \mathrm{sgn}\left(d\right) - 16 i \, \log\left({\left| d \right|}\right) - 8}\right)} + \frac{1}{2} i \, {\left| d \right|}^{x} {\left(\frac{{\left(2 \, \pi x \mathrm{sgn}\left(d\right) - 2 \, \pi x - 4 i \, x \log\left({\left| d \right|}\right) - 4 \, x + 4 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x - i \, x\right)}}{8 \, \pi - 4 \, \pi^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 \, \pi^{2} + 8 i \, \pi \log\left({\left| d \right|}\right) - 8 \, \log\left({\left| d \right|}\right)^{2} - 8 \, \pi \mathrm{sgn}\left(d\right) + 16 i \, \log\left({\left| d \right|}\right) + 8} + \frac{{\left(2 \, \pi x \mathrm{sgn}\left(d\right) - 2 \, \pi x + 4 i \, x \log\left({\left| d \right|}\right) - 4 \, x - 4 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x + i \, x\right)}}{8 \, \pi - 4 \, \pi^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 \, \pi^{2} - 8 i \, \pi \log\left({\left| d \right|}\right) - 8 \, \log\left({\left| d \right|}\right)^{2} - 8 \, \pi \mathrm{sgn}\left(d\right) - 16 i \, \log\left({\left| d \right|}\right) + 8}\right)}"," ",0,"1/2*(2*((pi*x*sgn(d) - pi*x + 2*x)*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))/((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))^2) + (2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)*(x*log(abs(d)) - 1)/((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x + x) - ((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)*(pi*x*sgn(d) - pi*x + 2*x)/((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))^2) - 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))*(x*log(abs(d)) - 1)/((2*pi + pi^2*sgn(d) - pi^2 + 2*log(abs(d))^2 - 2*pi*sgn(d) - 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) + 2*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x + x))*abs(d)^x + 1/2*(2*((pi*x*sgn(d) - pi*x - 2*x)*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))/((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))^2) - (2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)*(x*log(abs(d)) - 1)/((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x - x) + ((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)*(pi*x*sgn(d) - pi*x - 2*x)/((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))^2) + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))*(x*log(abs(d)) - 1)/((2*pi - pi^2*sgn(d) + pi^2 - 2*log(abs(d))^2 - 2*pi*sgn(d) + 2)^2 + 4*(pi*log(abs(d))*sgn(d) - pi*log(abs(d)) - 2*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x - x))*abs(d)^x - 1/2*I*abs(d)^x*((2*pi*x*sgn(d) - 2*pi*x - 4*I*x*log(abs(d)) + 4*x + 4*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x + I*x)/(8*pi + 4*pi^2*sgn(d) + 8*I*pi*log(abs(d))*sgn(d) - 4*pi^2 - 8*I*pi*log(abs(d)) + 8*log(abs(d))^2 - 8*pi*sgn(d) + 16*I*log(abs(d)) - 8) + (2*pi*x*sgn(d) - 2*pi*x + 4*I*x*log(abs(d)) + 4*x - 4*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x - I*x)/(8*pi + 4*pi^2*sgn(d) - 8*I*pi*log(abs(d))*sgn(d) - 4*pi^2 + 8*I*pi*log(abs(d)) + 8*log(abs(d))^2 - 8*pi*sgn(d) - 16*I*log(abs(d)) - 8)) + 1/2*I*abs(d)^x*((2*pi*x*sgn(d) - 2*pi*x - 4*I*x*log(abs(d)) - 4*x + 4*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x - I*x)/(8*pi - 4*pi^2*sgn(d) - 8*I*pi*log(abs(d))*sgn(d) + 4*pi^2 + 8*I*pi*log(abs(d)) - 8*log(abs(d))^2 - 8*pi*sgn(d) + 16*I*log(abs(d)) + 8) + (2*pi*x*sgn(d) - 2*pi*x + 4*I*x*log(abs(d)) - 4*x - 4*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x + I*x)/(8*pi - 4*pi^2*sgn(d) + 8*I*pi*log(abs(d))*sgn(d) + 4*pi^2 - 8*I*pi*log(abs(d)) - 8*log(abs(d))^2 - 8*pi*sgn(d) - 16*I*log(abs(d)) + 8))","C",0
138,1,2631,0,1.775376," ","integrate(d^x*x^2*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left({\left(\frac{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(\pi^{2} x^{2} \mathrm{sgn}\left(d\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \pi x^{2} \mathrm{sgn}\left(d\right) + 2 \, \pi x^{2} - 2 \, x^{2} - 4 \, x \log\left({\left| d \right|}\right) + 4\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{2 \, {\left(\pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi x^{2} \log\left({\left| d \right|}\right) + 2 \, x^{2} \log\left({\left| d \right|}\right) - \pi x \mathrm{sgn}\left(d\right) + \pi x - 2 \, x\right)} {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right) - {\left(\frac{2 \, {\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(\pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi x^{2} \log\left({\left| d \right|}\right) + 2 \, x^{2} \log\left({\left| d \right|}\right) - \pi x \mathrm{sgn}\left(d\right) + \pi x - 2 \, x\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} x^{2} \mathrm{sgn}\left(d\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \pi x^{2} \mathrm{sgn}\left(d\right) + 2 \, \pi x^{2} - 2 \, x^{2} - 4 \, x \log\left({\left| d \right|}\right) + 4\right)} {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right)\right)} {\left| d \right|}^{x} + \frac{1}{2} \, {\left({\left(\frac{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(\pi^{2} x^{2} \mathrm{sgn}\left(d\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \pi x^{2} \mathrm{sgn}\left(d\right) - 2 \, \pi x^{2} - 2 \, x^{2} - 4 \, x \log\left({\left| d \right|}\right) + 4\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{2 \, {\left(\pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi x^{2} \log\left({\left| d \right|}\right) - 2 \, x^{2} \log\left({\left| d \right|}\right) - \pi x \mathrm{sgn}\left(d\right) + \pi x + 2 \, x\right)} {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right) - {\left(\frac{2 \, {\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(\pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi x^{2} \log\left({\left| d \right|}\right) - 2 \, x^{2} \log\left({\left| d \right|}\right) - \pi x \mathrm{sgn}\left(d\right) + \pi x + 2 \, x\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} x^{2} \mathrm{sgn}\left(d\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \pi x^{2} \mathrm{sgn}\left(d\right) - 2 \, \pi x^{2} - 2 \, x^{2} - 4 \, x \log\left({\left| d \right|}\right) + 4\right)} {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right)\right)} {\left| d \right|}^{x} + \frac{1}{2} \, {\left| d \right|}^{x} {\left(\frac{{\left(4 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 4 i \, \pi^{2} x^{2} + 8 \, \pi x^{2} \log\left({\left| d \right|}\right) + 8 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 8 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi x^{2} - 16 \, x^{2} \log\left({\left| d \right|}\right) + 8 \, \pi x \mathrm{sgn}\left(d\right) - 8 \, \pi x - 8 i \, x^{2} - 16 i \, x \log\left({\left| d \right|}\right) + 16 \, x + 16 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x + i \, x\right)}}{24 i \, \pi - 8 i \, \pi^{3} \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi^{3} - 24 \, \pi^{2} \log\left({\left| d \right|}\right) - 24 i \, \pi \log\left({\left| d \right|}\right)^{2} + 16 \, \log\left({\left| d \right|}\right)^{3} + 24 i \, \pi^{2} \mathrm{sgn}\left(d\right) - 48 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} + 48 \, \pi \log\left({\left| d \right|}\right) + 48 i \, \log\left({\left| d \right|}\right)^{2} - 24 i \, \pi \mathrm{sgn}\left(d\right) - 48 \, \log\left({\left| d \right|}\right) - 16 i} + \frac{{\left(4 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 8 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 4 i \, \pi^{2} x^{2} - 8 \, \pi x^{2} \log\left({\left| d \right|}\right) + 8 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 8 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi x^{2} + 16 \, x^{2} \log\left({\left| d \right|}\right) - 8 \, \pi x \mathrm{sgn}\left(d\right) + 8 \, \pi x - 8 i \, x^{2} - 16 i \, x \log\left({\left| d \right|}\right) - 16 \, x + 16 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x - i \, x\right)}}{-24 i \, \pi + 8 i \, \pi^{3} \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi^{3} - 24 \, \pi^{2} \log\left({\left| d \right|}\right) + 24 i \, \pi \log\left({\left| d \right|}\right)^{2} + 16 \, \log\left({\left| d \right|}\right)^{3} - 24 i \, \pi^{2} \mathrm{sgn}\left(d\right) - 48 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} + 48 \, \pi \log\left({\left| d \right|}\right) - 48 i \, \log\left({\left| d \right|}\right)^{2} + 24 i \, \pi \mathrm{sgn}\left(d\right) - 48 \, \log\left({\left| d \right|}\right) + 16 i}\right)} + \frac{1}{2} \, {\left| d \right|}^{x} {\left(\frac{{\left(-4 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 8 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 i \, \pi^{2} x^{2} - 8 \, \pi x^{2} \log\left({\left| d \right|}\right) - 8 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 8 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi x^{2} - 16 \, x^{2} \log\left({\left| d \right|}\right) - 8 \, \pi x \mathrm{sgn}\left(d\right) + 8 \, \pi x + 8 i \, x^{2} + 16 i \, x \log\left({\left| d \right|}\right) + 16 \, x - 16 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x - i \, x\right)}}{24 i \, \pi - 8 i \, \pi^{3} \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi^{3} - 24 \, \pi^{2} \log\left({\left| d \right|}\right) - 24 i \, \pi \log\left({\left| d \right|}\right)^{2} + 16 \, \log\left({\left| d \right|}\right)^{3} - 24 i \, \pi^{2} \mathrm{sgn}\left(d\right) + 48 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} - 48 \, \pi \log\left({\left| d \right|}\right) - 48 i \, \log\left({\left| d \right|}\right)^{2} - 24 i \, \pi \mathrm{sgn}\left(d\right) - 48 \, \log\left({\left| d \right|}\right) + 16 i} + \frac{{\left(-4 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 i \, \pi^{2} x^{2} + 8 \, \pi x^{2} \log\left({\left| d \right|}\right) - 8 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 8 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi x^{2} + 16 \, x^{2} \log\left({\left| d \right|}\right) + 8 \, \pi x \mathrm{sgn}\left(d\right) - 8 \, \pi x + 8 i \, x^{2} + 16 i \, x \log\left({\left| d \right|}\right) - 16 \, x - 16 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x + i \, x\right)}}{-24 i \, \pi + 8 i \, \pi^{3} \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi^{3} - 24 \, \pi^{2} \log\left({\left| d \right|}\right) + 24 i \, \pi \log\left({\left| d \right|}\right)^{2} + 16 \, \log\left({\left| d \right|}\right)^{3} + 24 i \, \pi^{2} \mathrm{sgn}\left(d\right) + 48 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} - 48 \, \pi \log\left({\left| d \right|}\right) + 48 i \, \log\left({\left| d \right|}\right)^{2} + 24 i \, \pi \mathrm{sgn}\left(d\right) - 48 \, \log\left({\left| d \right|}\right) - 16 i}\right)}"," ",0,"-1/2*(((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)*(pi^2*x^2*sgn(d) - pi^2*x^2 + 2*x^2*log(abs(d))^2 - 2*pi*x^2*sgn(d) + 2*pi*x^2 - 2*x^2 - 4*x*log(abs(d)) + 4)/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))^2) - 2*(pi*x^2*log(abs(d))*sgn(d) - pi*x^2*log(abs(d)) + 2*x^2*log(abs(d)) - pi*x*sgn(d) + pi*x - 2*x)*(3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x + x) - (2*(3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)*(pi*x^2*log(abs(d))*sgn(d) - pi*x^2*log(abs(d)) + 2*x^2*log(abs(d)) - pi*x*sgn(d) + pi*x - 2*x)/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))^2) + (pi^2*x^2*sgn(d) - pi^2*x^2 + 2*x^2*log(abs(d))^2 - 2*pi*x^2*sgn(d) + 2*pi*x^2 - 2*x^2 - 4*x*log(abs(d)) + 4)*(3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x + x))*abs(d)^x + 1/2*(((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)*(pi^2*x^2*sgn(d) - pi^2*x^2 + 2*x^2*log(abs(d))^2 + 2*pi*x^2*sgn(d) - 2*pi*x^2 - 2*x^2 - 4*x*log(abs(d)) + 4)/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))^2) - 2*(pi*x^2*log(abs(d))*sgn(d) - pi*x^2*log(abs(d)) - 2*x^2*log(abs(d)) - pi*x*sgn(d) + pi*x + 2*x)*(3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x - x) - (2*(3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)*(pi*x^2*log(abs(d))*sgn(d) - pi*x^2*log(abs(d)) - 2*x^2*log(abs(d)) - pi*x*sgn(d) + pi*x + 2*x)/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))^2) + (pi^2*x^2*sgn(d) - pi^2*x^2 + 2*x^2*log(abs(d))^2 + 2*pi*x^2*sgn(d) - 2*pi*x^2 - 2*x^2 - 4*x*log(abs(d)) + 4)*(3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x - x))*abs(d)^x + 1/2*abs(d)^x*((4*I*pi^2*x^2*sgn(d) - 8*pi*x^2*log(abs(d))*sgn(d) - 4*I*pi^2*x^2 + 8*pi*x^2*log(abs(d)) + 8*I*x^2*log(abs(d))^2 - 8*I*pi*x^2*sgn(d) + 8*I*pi*x^2 - 16*x^2*log(abs(d)) + 8*pi*x*sgn(d) - 8*pi*x - 8*I*x^2 - 16*I*x*log(abs(d)) + 16*x + 16*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x + I*x)/(24*I*pi - 8*I*pi^3*sgn(d) + 24*pi^2*log(abs(d))*sgn(d) + 24*I*pi*log(abs(d))^2*sgn(d) + 8*I*pi^3 - 24*pi^2*log(abs(d)) - 24*I*pi*log(abs(d))^2 + 16*log(abs(d))^3 + 24*I*pi^2*sgn(d) - 48*pi*log(abs(d))*sgn(d) - 24*I*pi^2 + 48*pi*log(abs(d)) + 48*I*log(abs(d))^2 - 24*I*pi*sgn(d) - 48*log(abs(d)) - 16*I) + (4*I*pi^2*x^2*sgn(d) + 8*pi*x^2*log(abs(d))*sgn(d) - 4*I*pi^2*x^2 - 8*pi*x^2*log(abs(d)) + 8*I*x^2*log(abs(d))^2 - 8*I*pi*x^2*sgn(d) + 8*I*pi*x^2 + 16*x^2*log(abs(d)) - 8*pi*x*sgn(d) + 8*pi*x - 8*I*x^2 - 16*I*x*log(abs(d)) - 16*x + 16*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x - I*x)/(-24*I*pi + 8*I*pi^3*sgn(d) + 24*pi^2*log(abs(d))*sgn(d) - 24*I*pi*log(abs(d))^2*sgn(d) - 8*I*pi^3 - 24*pi^2*log(abs(d)) + 24*I*pi*log(abs(d))^2 + 16*log(abs(d))^3 - 24*I*pi^2*sgn(d) - 48*pi*log(abs(d))*sgn(d) + 24*I*pi^2 + 48*pi*log(abs(d)) - 48*I*log(abs(d))^2 + 24*I*pi*sgn(d) - 48*log(abs(d)) + 16*I)) + 1/2*abs(d)^x*((-4*I*pi^2*x^2*sgn(d) + 8*pi*x^2*log(abs(d))*sgn(d) + 4*I*pi^2*x^2 - 8*pi*x^2*log(abs(d)) - 8*I*x^2*log(abs(d))^2 - 8*I*pi*x^2*sgn(d) + 8*I*pi*x^2 - 16*x^2*log(abs(d)) - 8*pi*x*sgn(d) + 8*pi*x + 8*I*x^2 + 16*I*x*log(abs(d)) + 16*x - 16*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x - I*x)/(24*I*pi - 8*I*pi^3*sgn(d) + 24*pi^2*log(abs(d))*sgn(d) + 24*I*pi*log(abs(d))^2*sgn(d) + 8*I*pi^3 - 24*pi^2*log(abs(d)) - 24*I*pi*log(abs(d))^2 + 16*log(abs(d))^3 - 24*I*pi^2*sgn(d) + 48*pi*log(abs(d))*sgn(d) + 24*I*pi^2 - 48*pi*log(abs(d)) - 48*I*log(abs(d))^2 - 24*I*pi*sgn(d) - 48*log(abs(d)) + 16*I) + (-4*I*pi^2*x^2*sgn(d) - 8*pi*x^2*log(abs(d))*sgn(d) + 4*I*pi^2*x^2 + 8*pi*x^2*log(abs(d)) - 8*I*x^2*log(abs(d))^2 - 8*I*pi*x^2*sgn(d) + 8*I*pi*x^2 + 16*x^2*log(abs(d)) + 8*pi*x*sgn(d) - 8*pi*x + 8*I*x^2 + 16*I*x*log(abs(d)) - 16*x - 16*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x + I*x)/(-24*I*pi + 8*I*pi^3*sgn(d) + 24*pi^2*log(abs(d))*sgn(d) - 24*I*pi*log(abs(d))^2*sgn(d) - 8*I*pi^3 - 24*pi^2*log(abs(d)) + 24*I*pi*log(abs(d))^2 + 16*log(abs(d))^3 + 24*I*pi^2*sgn(d) + 48*pi*log(abs(d))*sgn(d) - 24*I*pi^2 - 48*pi*log(abs(d)) + 48*I*log(abs(d))^2 + 24*I*pi*sgn(d) - 48*log(abs(d)) - 16*I))","C",0
139,1,2631,0,1.519264," ","integrate(d^x*x^2*cos(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left(\frac{2 \, {\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(\pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi x^{2} \log\left({\left| d \right|}\right) + 2 \, x^{2} \log\left({\left| d \right|}\right) - \pi x \mathrm{sgn}\left(d\right) + \pi x - 2 \, x\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} x^{2} \mathrm{sgn}\left(d\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \pi x^{2} \mathrm{sgn}\left(d\right) + 2 \, \pi x^{2} - 2 \, x^{2} - 4 \, x \log\left({\left| d \right|}\right) + 4\right)} {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right) + {\left(\frac{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(\pi^{2} x^{2} \mathrm{sgn}\left(d\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \pi x^{2} \mathrm{sgn}\left(d\right) + 2 \, \pi x^{2} - 2 \, x^{2} - 4 \, x \log\left({\left| d \right|}\right) + 4\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{2 \, {\left(\pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi x^{2} \log\left({\left| d \right|}\right) + 2 \, x^{2} \log\left({\left| d \right|}\right) - \pi x \mathrm{sgn}\left(d\right) + \pi x - 2 \, x\right)} {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} + 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} - 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right)\right)} {\left| d \right|}^{x} + \frac{1}{2} \, {\left({\left(\frac{2 \, {\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(\pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi x^{2} \log\left({\left| d \right|}\right) - 2 \, x^{2} \log\left({\left| d \right|}\right) - \pi x \mathrm{sgn}\left(d\right) + \pi x + 2 \, x\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} x^{2} \mathrm{sgn}\left(d\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \pi x^{2} \mathrm{sgn}\left(d\right) - 2 \, \pi x^{2} - 2 \, x^{2} - 4 \, x \log\left({\left| d \right|}\right) + 4\right)} {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right) + {\left(\frac{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(\pi^{2} x^{2} \mathrm{sgn}\left(d\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \pi x^{2} \mathrm{sgn}\left(d\right) - 2 \, \pi x^{2} - 2 \, x^{2} - 4 \, x \log\left({\left| d \right|}\right) + 4\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{2 \, {\left(\pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi x^{2} \log\left({\left| d \right|}\right) - 2 \, x^{2} \log\left({\left| d \right|}\right) - \pi x \mathrm{sgn}\left(d\right) + \pi x + 2 \, x\right)} {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}}{{\left(3 \, \pi - \pi^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{3} - 3 \, \pi \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} - 6 \, \log\left({\left| d \right|}\right)^{2} - 3 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 6 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi \log\left({\left| d \right|}\right) - 6 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right)\right)} {\left| d \right|}^{x} - \frac{1}{2} i \, {\left| d \right|}^{x} {\left(\frac{{\left(-4 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 8 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 i \, \pi^{2} x^{2} - 8 \, \pi x^{2} \log\left({\left| d \right|}\right) - 8 i \, x^{2} \log\left({\left| d \right|}\right)^{2} + 8 i \, \pi x^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi x^{2} + 16 \, x^{2} \log\left({\left| d \right|}\right) - 8 \, \pi x \mathrm{sgn}\left(d\right) + 8 \, \pi x + 8 i \, x^{2} + 16 i \, x \log\left({\left| d \right|}\right) - 16 \, x - 16 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x + i \, x\right)}}{24 i \, \pi - 8 i \, \pi^{3} \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi^{3} - 24 \, \pi^{2} \log\left({\left| d \right|}\right) - 24 i \, \pi \log\left({\left| d \right|}\right)^{2} + 16 \, \log\left({\left| d \right|}\right)^{3} + 24 i \, \pi^{2} \mathrm{sgn}\left(d\right) - 48 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} + 48 \, \pi \log\left({\left| d \right|}\right) + 48 i \, \log\left({\left| d \right|}\right)^{2} - 24 i \, \pi \mathrm{sgn}\left(d\right) - 48 \, \log\left({\left| d \right|}\right) - 16 i} - \frac{{\left(-4 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 i \, \pi^{2} x^{2} + 8 \, \pi x^{2} \log\left({\left| d \right|}\right) - 8 i \, x^{2} \log\left({\left| d \right|}\right)^{2} + 8 i \, \pi x^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi x^{2} - 16 \, x^{2} \log\left({\left| d \right|}\right) + 8 \, \pi x \mathrm{sgn}\left(d\right) - 8 \, \pi x + 8 i \, x^{2} + 16 i \, x \log\left({\left| d \right|}\right) + 16 \, x - 16 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x - i \, x\right)}}{-24 i \, \pi + 8 i \, \pi^{3} \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi^{3} - 24 \, \pi^{2} \log\left({\left| d \right|}\right) + 24 i \, \pi \log\left({\left| d \right|}\right)^{2} + 16 \, \log\left({\left| d \right|}\right)^{3} - 24 i \, \pi^{2} \mathrm{sgn}\left(d\right) - 48 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} + 48 \, \pi \log\left({\left| d \right|}\right) - 48 i \, \log\left({\left| d \right|}\right)^{2} + 24 i \, \pi \mathrm{sgn}\left(d\right) - 48 \, \log\left({\left| d \right|}\right) + 16 i}\right)} - \frac{1}{2} i \, {\left| d \right|}^{x} {\left(\frac{{\left(-4 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 8 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 i \, \pi^{2} x^{2} - 8 \, \pi x^{2} \log\left({\left| d \right|}\right) - 8 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 8 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi x^{2} - 16 \, x^{2} \log\left({\left| d \right|}\right) - 8 \, \pi x \mathrm{sgn}\left(d\right) + 8 \, \pi x + 8 i \, x^{2} + 16 i \, x \log\left({\left| d \right|}\right) + 16 \, x - 16 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x - i \, x\right)}}{24 i \, \pi - 8 i \, \pi^{3} \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi^{3} - 24 \, \pi^{2} \log\left({\left| d \right|}\right) - 24 i \, \pi \log\left({\left| d \right|}\right)^{2} + 16 \, \log\left({\left| d \right|}\right)^{3} - 24 i \, \pi^{2} \mathrm{sgn}\left(d\right) + 48 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} - 48 \, \pi \log\left({\left| d \right|}\right) - 48 i \, \log\left({\left| d \right|}\right)^{2} - 24 i \, \pi \mathrm{sgn}\left(d\right) - 48 \, \log\left({\left| d \right|}\right) + 16 i} - \frac{{\left(-4 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 4 i \, \pi^{2} x^{2} + 8 \, \pi x^{2} \log\left({\left| d \right|}\right) - 8 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 8 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 8 i \, \pi x^{2} + 16 \, x^{2} \log\left({\left| d \right|}\right) + 8 \, \pi x \mathrm{sgn}\left(d\right) - 8 \, \pi x + 8 i \, x^{2} + 16 i \, x \log\left({\left| d \right|}\right) - 16 \, x - 16 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x + i \, x\right)}}{-24 i \, \pi + 8 i \, \pi^{3} \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 i \, \pi^{3} - 24 \, \pi^{2} \log\left({\left| d \right|}\right) + 24 i \, \pi \log\left({\left| d \right|}\right)^{2} + 16 \, \log\left({\left| d \right|}\right)^{3} + 24 i \, \pi^{2} \mathrm{sgn}\left(d\right) + 48 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} - 48 \, \pi \log\left({\left| d \right|}\right) + 48 i \, \log\left({\left| d \right|}\right)^{2} + 24 i \, \pi \mathrm{sgn}\left(d\right) - 48 \, \log\left({\left| d \right|}\right) - 16 i}\right)}"," ",0,"1/2*((2*(3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)*(pi*x^2*log(abs(d))*sgn(d) - pi*x^2*log(abs(d)) + 2*x^2*log(abs(d)) - pi*x*sgn(d) + pi*x - 2*x)/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))^2) + (pi^2*x^2*sgn(d) - pi^2*x^2 + 2*x^2*log(abs(d))^2 - 2*pi*x^2*sgn(d) + 2*pi*x^2 - 2*x^2 - 4*x*log(abs(d)) + 4)*(3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x + x) + ((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)*(pi^2*x^2*sgn(d) - pi^2*x^2 + 2*x^2*log(abs(d))^2 - 2*pi*x^2*sgn(d) + 2*pi*x^2 - 2*x^2 - 4*x*log(abs(d)) + 4)/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))^2) - 2*(pi*x^2*log(abs(d))*sgn(d) - pi*x^2*log(abs(d)) + 2*x^2*log(abs(d)) - pi*x*sgn(d) + pi*x - 2*x)*(3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 + 3*pi^2*sgn(d) - 3*pi^2 + 6*log(abs(d))^2 - 3*pi*sgn(d) - 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 - 6*pi*log(abs(d))*sgn(d) + 6*pi*log(abs(d)) - 6*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x + x))*abs(d)^x + 1/2*((2*(3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)*(pi*x^2*log(abs(d))*sgn(d) - pi*x^2*log(abs(d)) - 2*x^2*log(abs(d)) - pi*x*sgn(d) + pi*x + 2*x)/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))^2) + (pi^2*x^2*sgn(d) - pi^2*x^2 + 2*x^2*log(abs(d))^2 + 2*pi*x^2*sgn(d) - 2*pi*x^2 - 2*x^2 - 4*x*log(abs(d)) + 4)*(3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x - x) + ((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)*(pi^2*x^2*sgn(d) - pi^2*x^2 + 2*x^2*log(abs(d))^2 + 2*pi*x^2*sgn(d) - 2*pi*x^2 - 2*x^2 - 4*x*log(abs(d)) + 4)/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))^2) - 2*(pi*x^2*log(abs(d))*sgn(d) - pi*x^2*log(abs(d)) - 2*x^2*log(abs(d)) - pi*x*sgn(d) + pi*x + 2*x)*(3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))/((3*pi - pi^3*sgn(d) + 3*pi*log(abs(d))^2*sgn(d) + pi^3 - 3*pi*log(abs(d))^2 - 3*pi^2*sgn(d) + 3*pi^2 - 6*log(abs(d))^2 - 3*pi*sgn(d) + 2)^2 + (3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 6*pi*log(abs(d))*sgn(d) - 6*pi*log(abs(d)) - 6*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x - x))*abs(d)^x - 1/2*I*abs(d)^x*((-4*I*pi^2*x^2*sgn(d) + 8*pi*x^2*log(abs(d))*sgn(d) + 4*I*pi^2*x^2 - 8*pi*x^2*log(abs(d)) - 8*I*x^2*log(abs(d))^2 + 8*I*pi*x^2*sgn(d) - 8*I*pi*x^2 + 16*x^2*log(abs(d)) - 8*pi*x*sgn(d) + 8*pi*x + 8*I*x^2 + 16*I*x*log(abs(d)) - 16*x - 16*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x + I*x)/(24*I*pi - 8*I*pi^3*sgn(d) + 24*pi^2*log(abs(d))*sgn(d) + 24*I*pi*log(abs(d))^2*sgn(d) + 8*I*pi^3 - 24*pi^2*log(abs(d)) - 24*I*pi*log(abs(d))^2 + 16*log(abs(d))^3 + 24*I*pi^2*sgn(d) - 48*pi*log(abs(d))*sgn(d) - 24*I*pi^2 + 48*pi*log(abs(d)) + 48*I*log(abs(d))^2 - 24*I*pi*sgn(d) - 48*log(abs(d)) - 16*I) - (-4*I*pi^2*x^2*sgn(d) - 8*pi*x^2*log(abs(d))*sgn(d) + 4*I*pi^2*x^2 + 8*pi*x^2*log(abs(d)) - 8*I*x^2*log(abs(d))^2 + 8*I*pi*x^2*sgn(d) - 8*I*pi*x^2 - 16*x^2*log(abs(d)) + 8*pi*x*sgn(d) - 8*pi*x + 8*I*x^2 + 16*I*x*log(abs(d)) + 16*x - 16*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x - I*x)/(-24*I*pi + 8*I*pi^3*sgn(d) + 24*pi^2*log(abs(d))*sgn(d) - 24*I*pi*log(abs(d))^2*sgn(d) - 8*I*pi^3 - 24*pi^2*log(abs(d)) + 24*I*pi*log(abs(d))^2 + 16*log(abs(d))^3 - 24*I*pi^2*sgn(d) - 48*pi*log(abs(d))*sgn(d) + 24*I*pi^2 + 48*pi*log(abs(d)) - 48*I*log(abs(d))^2 + 24*I*pi*sgn(d) - 48*log(abs(d)) + 16*I)) - 1/2*I*abs(d)^x*((-4*I*pi^2*x^2*sgn(d) + 8*pi*x^2*log(abs(d))*sgn(d) + 4*I*pi^2*x^2 - 8*pi*x^2*log(abs(d)) - 8*I*x^2*log(abs(d))^2 - 8*I*pi*x^2*sgn(d) + 8*I*pi*x^2 - 16*x^2*log(abs(d)) - 8*pi*x*sgn(d) + 8*pi*x + 8*I*x^2 + 16*I*x*log(abs(d)) + 16*x - 16*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x - I*x)/(24*I*pi - 8*I*pi^3*sgn(d) + 24*pi^2*log(abs(d))*sgn(d) + 24*I*pi*log(abs(d))^2*sgn(d) + 8*I*pi^3 - 24*pi^2*log(abs(d)) - 24*I*pi*log(abs(d))^2 + 16*log(abs(d))^3 - 24*I*pi^2*sgn(d) + 48*pi*log(abs(d))*sgn(d) + 24*I*pi^2 - 48*pi*log(abs(d)) - 48*I*log(abs(d))^2 - 24*I*pi*sgn(d) - 48*log(abs(d)) + 16*I) - (-4*I*pi^2*x^2*sgn(d) - 8*pi*x^2*log(abs(d))*sgn(d) + 4*I*pi^2*x^2 + 8*pi*x^2*log(abs(d)) - 8*I*x^2*log(abs(d))^2 - 8*I*pi*x^2*sgn(d) + 8*I*pi*x^2 + 16*x^2*log(abs(d)) + 8*pi*x*sgn(d) - 8*pi*x + 8*I*x^2 + 16*I*x*log(abs(d)) - 16*x - 16*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x + I*x)/(-24*I*pi + 8*I*pi^3*sgn(d) + 24*pi^2*log(abs(d))*sgn(d) - 24*I*pi*log(abs(d))^2*sgn(d) - 8*I*pi^3 - 24*pi^2*log(abs(d)) + 24*I*pi*log(abs(d))^2 + 16*log(abs(d))^3 + 24*I*pi^2*sgn(d) + 48*pi*log(abs(d))*sgn(d) - 24*I*pi^2 - 48*pi*log(abs(d)) + 48*I*log(abs(d))^2 + 24*I*pi*sgn(d) - 48*log(abs(d)) - 16*I))","C",0
140,1,5079,0,1.725318," ","integrate(d^x*x^3*sin(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left(\frac{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(\pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{3} x^{3} + 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{3} - 6 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} - 6 \, \pi x^{2} \log\left({\left| d \right|}\right) + 2 \, x^{3} + 12 \, x^{2} \log\left({\left| d \right|}\right) - 6 \, \pi x \mathrm{sgn}\left(d\right) + 6 \, \pi x - 12 \, x\right)}}{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{4 \, {\left(3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 2 \, x^{3} \log\left({\left| d \right|}\right)^{3} - 6 \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi x^{3} \log\left({\left| d \right|}\right) - 3 \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{2} - 6 \, x^{3} \log\left({\left| d \right|}\right) - 6 \, x^{2} \log\left({\left| d \right|}\right)^{2} + 6 \, \pi x^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi x^{2} + 6 \, x^{2} + 12 \, x \log\left({\left| d \right|}\right) - 12\right)} {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right) - {\left(\frac{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 2 \, x^{3} \log\left({\left| d \right|}\right)^{3} - 6 \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi x^{3} \log\left({\left| d \right|}\right) - 3 \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{2} - 6 \, x^{3} \log\left({\left| d \right|}\right) - 6 \, x^{2} \log\left({\left| d \right|}\right)^{2} + 6 \, \pi x^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi x^{2} + 6 \, x^{2} + 12 \, x \log\left({\left| d \right|}\right) - 12\right)}}{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{3} x^{3} + 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{3} - 6 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} - 6 \, \pi x^{2} \log\left({\left| d \right|}\right) + 2 \, x^{3} + 12 \, x^{2} \log\left({\left| d \right|}\right) - 6 \, \pi x \mathrm{sgn}\left(d\right) + 6 \, \pi x - 12 \, x\right)} {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right)\right)} {\left| d \right|}^{x} + \frac{1}{2} \, {\left({\left(\frac{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(\pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{3} x^{3} + 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} + 6 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} - 6 \, \pi x^{2} \log\left({\left| d \right|}\right) - 2 \, x^{3} - 12 \, x^{2} \log\left({\left| d \right|}\right) - 6 \, \pi x \mathrm{sgn}\left(d\right) + 6 \, \pi x + 12 \, x\right)}}{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{4 \, {\left(3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 2 \, x^{3} \log\left({\left| d \right|}\right)^{3} + 6 \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi x^{3} \log\left({\left| d \right|}\right) - 3 \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{2} - 6 \, x^{3} \log\left({\left| d \right|}\right) - 6 \, x^{2} \log\left({\left| d \right|}\right)^{2} - 6 \, \pi x^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} + 6 \, x^{2} + 12 \, x \log\left({\left| d \right|}\right) - 12\right)} {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right) - {\left(\frac{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 2 \, x^{3} \log\left({\left| d \right|}\right)^{3} + 6 \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi x^{3} \log\left({\left| d \right|}\right) - 3 \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{2} - 6 \, x^{3} \log\left({\left| d \right|}\right) - 6 \, x^{2} \log\left({\left| d \right|}\right)^{2} - 6 \, \pi x^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} + 6 \, x^{2} + 12 \, x \log\left({\left| d \right|}\right) - 12\right)}}{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{4 \, {\left(\pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{3} x^{3} + 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} + 6 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} - 6 \, \pi x^{2} \log\left({\left| d \right|}\right) - 2 \, x^{3} - 12 \, x^{2} \log\left({\left| d \right|}\right) - 6 \, \pi x \mathrm{sgn}\left(d\right) + 6 \, \pi x + 12 \, x\right)} {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right)\right)} {\left| d \right|}^{x} - \frac{1}{2} \, {\left| d \right|}^{x} {\left(\frac{{\left(8 \, \pi^{3} x^{3} \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi^{3} x^{3} - 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} + 16 i \, x^{3} \log\left({\left| d \right|}\right)^{3} - 24 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) - 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} x^{3} + 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) - 48 \, x^{3} \log\left({\left| d \right|}\right)^{2} - 24 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 24 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 48 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} x^{2} - 24 \, \pi x^{3} - 48 \, \pi x^{2} \log\left({\left| d \right|}\right) - 48 i \, x^{3} \log\left({\left| d \right|}\right) - 48 i \, x^{2} \log\left({\left| d \right|}\right)^{2} + 48 i \, \pi x^{2} \mathrm{sgn}\left(d\right) - 48 i \, \pi x^{2} + 16 \, x^{3} + 96 \, x^{2} \log\left({\left| d \right|}\right) - 48 \, \pi x \mathrm{sgn}\left(d\right) + 48 \, \pi x + 48 i \, x^{2} + 96 i \, x \log\left({\left| d \right|}\right) - 96 \, x - 96 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x + i \, x\right)}}{64 \, \pi + 16 \, \pi^{4} \mathrm{sgn}\left(d\right) + 64 i \, \pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 64 i \, \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - 16 \, \pi^{4} - 64 i \, \pi^{3} \log\left({\left| d \right|}\right) + 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 64 i \, \pi \log\left({\left| d \right|}\right)^{3} - 32 \, \log\left({\left| d \right|}\right)^{4} - 64 \, \pi^{3} \mathrm{sgn}\left(d\right) - 192 i \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 192 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 \, \pi^{3} + 192 i \, \pi^{2} \log\left({\left| d \right|}\right) - 192 \, \pi \log\left({\left| d \right|}\right)^{2} - 128 i \, \log\left({\left| d \right|}\right)^{3} + 96 \, \pi^{2} \mathrm{sgn}\left(d\right) + 192 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 96 \, \pi^{2} - 192 i \, \pi \log\left({\left| d \right|}\right) + 192 \, \log\left({\left| d \right|}\right)^{2} - 64 \, \pi \mathrm{sgn}\left(d\right) + 128 i \, \log\left({\left| d \right|}\right) - 32} - \frac{{\left(8 \, \pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi^{3} x^{3} + 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} - 16 i \, x^{3} \log\left({\left| d \right|}\right)^{3} - 24 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) + 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} x^{3} - 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) - 48 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 24 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 24 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 48 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} x^{2} - 24 \, \pi x^{3} - 48 \, \pi x^{2} \log\left({\left| d \right|}\right) + 48 i \, x^{3} \log\left({\left| d \right|}\right) + 48 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 48 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 48 i \, \pi x^{2} + 16 \, x^{3} + 96 \, x^{2} \log\left({\left| d \right|}\right) - 48 \, \pi x \mathrm{sgn}\left(d\right) + 48 \, \pi x - 48 i \, x^{2} - 96 i \, x \log\left({\left| d \right|}\right) - 96 \, x + 96 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x - i \, x\right)}}{64 \, \pi + 16 \, \pi^{4} \mathrm{sgn}\left(d\right) - 64 i \, \pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 i \, \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - 16 \, \pi^{4} + 64 i \, \pi^{3} \log\left({\left| d \right|}\right) + 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 64 i \, \pi \log\left({\left| d \right|}\right)^{3} - 32 \, \log\left({\left| d \right|}\right)^{4} - 64 \, \pi^{3} \mathrm{sgn}\left(d\right) + 192 i \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 192 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 \, \pi^{3} - 192 i \, \pi^{2} \log\left({\left| d \right|}\right) - 192 \, \pi \log\left({\left| d \right|}\right)^{2} + 128 i \, \log\left({\left| d \right|}\right)^{3} + 96 \, \pi^{2} \mathrm{sgn}\left(d\right) - 192 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 96 \, \pi^{2} + 192 i \, \pi \log\left({\left| d \right|}\right) + 192 \, \log\left({\left| d \right|}\right)^{2} - 64 \, \pi \mathrm{sgn}\left(d\right) - 128 i \, \log\left({\left| d \right|}\right) - 32}\right)} - \frac{1}{2} \, {\left| d \right|}^{x} {\left(\frac{{\left(8 \, \pi^{3} x^{3} \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi^{3} x^{3} - 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} + 16 i \, x^{3} \log\left({\left| d \right|}\right)^{3} + 24 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) + 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi^{2} x^{3} - 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) + 48 \, x^{3} \log\left({\left| d \right|}\right)^{2} - 24 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 24 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 48 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} x^{2} - 24 \, \pi x^{3} - 48 \, \pi x^{2} \log\left({\left| d \right|}\right) - 48 i \, x^{3} \log\left({\left| d \right|}\right) - 48 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 48 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 48 i \, \pi x^{2} - 16 \, x^{3} - 96 \, x^{2} \log\left({\left| d \right|}\right) - 48 \, \pi x \mathrm{sgn}\left(d\right) + 48 \, \pi x + 48 i \, x^{2} + 96 i \, x \log\left({\left| d \right|}\right) + 96 \, x - 96 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x - i \, x\right)}}{64 \, \pi - 16 \, \pi^{4} \mathrm{sgn}\left(d\right) - 64 i \, \pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 i \, \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) + 16 \, \pi^{4} + 64 i \, \pi^{3} \log\left({\left| d \right|}\right) - 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 64 i \, \pi \log\left({\left| d \right|}\right)^{3} + 32 \, \log\left({\left| d \right|}\right)^{4} - 64 \, \pi^{3} \mathrm{sgn}\left(d\right) - 192 i \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 192 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 \, \pi^{3} + 192 i \, \pi^{2} \log\left({\left| d \right|}\right) - 192 \, \pi \log\left({\left| d \right|}\right)^{2} - 128 i \, \log\left({\left| d \right|}\right)^{3} - 96 \, \pi^{2} \mathrm{sgn}\left(d\right) - 192 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 96 \, \pi^{2} + 192 i \, \pi \log\left({\left| d \right|}\right) - 192 \, \log\left({\left| d \right|}\right)^{2} - 64 \, \pi \mathrm{sgn}\left(d\right) + 128 i \, \log\left({\left| d \right|}\right) + 32} - \frac{{\left(8 \, \pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi^{3} x^{3} + 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} - 16 i \, x^{3} \log\left({\left| d \right|}\right)^{3} + 24 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) - 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi^{2} x^{3} + 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) + 48 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 24 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 24 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 48 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} x^{2} - 24 \, \pi x^{3} - 48 \, \pi x^{2} \log\left({\left| d \right|}\right) + 48 i \, x^{3} \log\left({\left| d \right|}\right) + 48 i \, x^{2} \log\left({\left| d \right|}\right)^{2} + 48 i \, \pi x^{2} \mathrm{sgn}\left(d\right) - 48 i \, \pi x^{2} - 16 \, x^{3} - 96 \, x^{2} \log\left({\left| d \right|}\right) - 48 \, \pi x \mathrm{sgn}\left(d\right) + 48 \, \pi x - 48 i \, x^{2} - 96 i \, x \log\left({\left| d \right|}\right) + 96 \, x + 96 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x + i \, x\right)}}{64 \, \pi - 16 \, \pi^{4} \mathrm{sgn}\left(d\right) + 64 i \, \pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 64 i \, \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) + 16 \, \pi^{4} - 64 i \, \pi^{3} \log\left({\left| d \right|}\right) - 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 64 i \, \pi \log\left({\left| d \right|}\right)^{3} + 32 \, \log\left({\left| d \right|}\right)^{4} - 64 \, \pi^{3} \mathrm{sgn}\left(d\right) + 192 i \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 192 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 \, \pi^{3} - 192 i \, \pi^{2} \log\left({\left| d \right|}\right) - 192 \, \pi \log\left({\left| d \right|}\right)^{2} + 128 i \, \log\left({\left| d \right|}\right)^{3} - 96 \, \pi^{2} \mathrm{sgn}\left(d\right) + 192 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 96 \, \pi^{2} - 192 i \, \pi \log\left({\left| d \right|}\right) - 192 \, \log\left({\left| d \right|}\right)^{2} - 64 \, \pi \mathrm{sgn}\left(d\right) - 128 i \, \log\left({\left| d \right|}\right) + 32}\right)}"," ",0,"1/2*(((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)*(pi^3*x^3*sgn(d) - 3*pi*x^3*log(abs(d))^2*sgn(d) - pi^3*x^3 + 3*pi*x^3*log(abs(d))^2 - 3*pi^2*x^3*sgn(d) + 3*pi^2*x^3 - 6*x^3*log(abs(d))^2 + 3*pi*x^3*sgn(d) + 6*pi*x^2*log(abs(d))*sgn(d) - 3*pi*x^3 - 6*pi*x^2*log(abs(d)) + 2*x^3 + 12*x^2*log(abs(d)) - 6*pi*x*sgn(d) + 6*pi*x - 12*x)/((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))^2) + 4*(3*pi^2*x^3*log(abs(d))*sgn(d) - 3*pi^2*x^3*log(abs(d)) + 2*x^3*log(abs(d))^3 - 6*pi*x^3*log(abs(d))*sgn(d) + 6*pi*x^3*log(abs(d)) - 3*pi^2*x^2*sgn(d) + 3*pi^2*x^2 - 6*x^3*log(abs(d)) - 6*x^2*log(abs(d))^2 + 6*pi*x^2*sgn(d) - 6*pi*x^2 + 6*x^2 + 12*x*log(abs(d)) - 12)*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))/((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x + x) - ((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)*(3*pi^2*x^3*log(abs(d))*sgn(d) - 3*pi^2*x^3*log(abs(d)) + 2*x^3*log(abs(d))^3 - 6*pi*x^3*log(abs(d))*sgn(d) + 6*pi*x^3*log(abs(d)) - 3*pi^2*x^2*sgn(d) + 3*pi^2*x^2 - 6*x^3*log(abs(d)) - 6*x^2*log(abs(d))^2 + 6*pi*x^2*sgn(d) - 6*pi*x^2 + 6*x^2 + 12*x*log(abs(d)) - 12)/((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))^2) - 4*(pi^3*x^3*sgn(d) - 3*pi*x^3*log(abs(d))^2*sgn(d) - pi^3*x^3 + 3*pi*x^3*log(abs(d))^2 - 3*pi^2*x^3*sgn(d) + 3*pi^2*x^3 - 6*x^3*log(abs(d))^2 + 3*pi*x^3*sgn(d) + 6*pi*x^2*log(abs(d))*sgn(d) - 3*pi*x^3 - 6*pi*x^2*log(abs(d)) + 2*x^3 + 12*x^2*log(abs(d)) - 6*pi*x*sgn(d) + 6*pi*x - 12*x)*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))/((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x + x))*abs(d)^x + 1/2*(((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)*(pi^3*x^3*sgn(d) - 3*pi*x^3*log(abs(d))^2*sgn(d) - pi^3*x^3 + 3*pi*x^3*log(abs(d))^2 + 3*pi^2*x^3*sgn(d) - 3*pi^2*x^3 + 6*x^3*log(abs(d))^2 + 3*pi*x^3*sgn(d) + 6*pi*x^2*log(abs(d))*sgn(d) - 3*pi*x^3 - 6*pi*x^2*log(abs(d)) - 2*x^3 - 12*x^2*log(abs(d)) - 6*pi*x*sgn(d) + 6*pi*x + 12*x)/((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))^2) - 4*(3*pi^2*x^3*log(abs(d))*sgn(d) - 3*pi^2*x^3*log(abs(d)) + 2*x^3*log(abs(d))^3 + 6*pi*x^3*log(abs(d))*sgn(d) - 6*pi*x^3*log(abs(d)) - 3*pi^2*x^2*sgn(d) + 3*pi^2*x^2 - 6*x^3*log(abs(d)) - 6*x^2*log(abs(d))^2 - 6*pi*x^2*sgn(d) + 6*pi*x^2 + 6*x^2 + 12*x*log(abs(d)) - 12)*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))/((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x - x) - ((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)*(3*pi^2*x^3*log(abs(d))*sgn(d) - 3*pi^2*x^3*log(abs(d)) + 2*x^3*log(abs(d))^3 + 6*pi*x^3*log(abs(d))*sgn(d) - 6*pi*x^3*log(abs(d)) - 3*pi^2*x^2*sgn(d) + 3*pi^2*x^2 - 6*x^3*log(abs(d)) - 6*x^2*log(abs(d))^2 - 6*pi*x^2*sgn(d) + 6*pi*x^2 + 6*x^2 + 12*x*log(abs(d)) - 12)/((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))^2) + 4*(pi^3*x^3*sgn(d) - 3*pi*x^3*log(abs(d))^2*sgn(d) - pi^3*x^3 + 3*pi*x^3*log(abs(d))^2 + 3*pi^2*x^3*sgn(d) - 3*pi^2*x^3 + 6*x^3*log(abs(d))^2 + 3*pi*x^3*sgn(d) + 6*pi*x^2*log(abs(d))*sgn(d) - 3*pi*x^3 - 6*pi*x^2*log(abs(d)) - 2*x^3 - 12*x^2*log(abs(d)) - 6*pi*x*sgn(d) + 6*pi*x + 12*x)*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))/((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x - x))*abs(d)^x - 1/2*abs(d)^x*((8*pi^3*x^3*sgn(d) + 24*I*pi^2*x^3*log(abs(d))*sgn(d) - 24*pi*x^3*log(abs(d))^2*sgn(d) - 8*pi^3*x^3 - 24*I*pi^2*x^3*log(abs(d)) + 24*pi*x^3*log(abs(d))^2 + 16*I*x^3*log(abs(d))^3 - 24*pi^2*x^3*sgn(d) - 48*I*pi*x^3*log(abs(d))*sgn(d) + 24*pi^2*x^3 + 48*I*pi*x^3*log(abs(d)) - 48*x^3*log(abs(d))^2 - 24*I*pi^2*x^2*sgn(d) + 24*pi*x^3*sgn(d) + 48*pi*x^2*log(abs(d))*sgn(d) + 24*I*pi^2*x^2 - 24*pi*x^3 - 48*pi*x^2*log(abs(d)) - 48*I*x^3*log(abs(d)) - 48*I*x^2*log(abs(d))^2 + 48*I*pi*x^2*sgn(d) - 48*I*pi*x^2 + 16*x^3 + 96*x^2*log(abs(d)) - 48*pi*x*sgn(d) + 48*pi*x + 48*I*x^2 + 96*I*x*log(abs(d)) - 96*x - 96*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x + I*x)/(64*pi + 16*pi^4*sgn(d) + 64*I*pi^3*log(abs(d))*sgn(d) - 96*pi^2*log(abs(d))^2*sgn(d) - 64*I*pi*log(abs(d))^3*sgn(d) - 16*pi^4 - 64*I*pi^3*log(abs(d)) + 96*pi^2*log(abs(d))^2 + 64*I*pi*log(abs(d))^3 - 32*log(abs(d))^4 - 64*pi^3*sgn(d) - 192*I*pi^2*log(abs(d))*sgn(d) + 192*pi*log(abs(d))^2*sgn(d) + 64*pi^3 + 192*I*pi^2*log(abs(d)) - 192*pi*log(abs(d))^2 - 128*I*log(abs(d))^3 + 96*pi^2*sgn(d) + 192*I*pi*log(abs(d))*sgn(d) - 96*pi^2 - 192*I*pi*log(abs(d)) + 192*log(abs(d))^2 - 64*pi*sgn(d) + 128*I*log(abs(d)) - 32) - (8*pi^3*x^3*sgn(d) - 24*I*pi^2*x^3*log(abs(d))*sgn(d) - 24*pi*x^3*log(abs(d))^2*sgn(d) - 8*pi^3*x^3 + 24*I*pi^2*x^3*log(abs(d)) + 24*pi*x^3*log(abs(d))^2 - 16*I*x^3*log(abs(d))^3 - 24*pi^2*x^3*sgn(d) + 48*I*pi*x^3*log(abs(d))*sgn(d) + 24*pi^2*x^3 - 48*I*pi*x^3*log(abs(d)) - 48*x^3*log(abs(d))^2 + 24*I*pi^2*x^2*sgn(d) + 24*pi*x^3*sgn(d) + 48*pi*x^2*log(abs(d))*sgn(d) - 24*I*pi^2*x^2 - 24*pi*x^3 - 48*pi*x^2*log(abs(d)) + 48*I*x^3*log(abs(d)) + 48*I*x^2*log(abs(d))^2 - 48*I*pi*x^2*sgn(d) + 48*I*pi*x^2 + 16*x^3 + 96*x^2*log(abs(d)) - 48*pi*x*sgn(d) + 48*pi*x - 48*I*x^2 - 96*I*x*log(abs(d)) - 96*x + 96*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x - I*x)/(64*pi + 16*pi^4*sgn(d) - 64*I*pi^3*log(abs(d))*sgn(d) - 96*pi^2*log(abs(d))^2*sgn(d) + 64*I*pi*log(abs(d))^3*sgn(d) - 16*pi^4 + 64*I*pi^3*log(abs(d)) + 96*pi^2*log(abs(d))^2 - 64*I*pi*log(abs(d))^3 - 32*log(abs(d))^4 - 64*pi^3*sgn(d) + 192*I*pi^2*log(abs(d))*sgn(d) + 192*pi*log(abs(d))^2*sgn(d) + 64*pi^3 - 192*I*pi^2*log(abs(d)) - 192*pi*log(abs(d))^2 + 128*I*log(abs(d))^3 + 96*pi^2*sgn(d) - 192*I*pi*log(abs(d))*sgn(d) - 96*pi^2 + 192*I*pi*log(abs(d)) + 192*log(abs(d))^2 - 64*pi*sgn(d) - 128*I*log(abs(d)) - 32)) - 1/2*abs(d)^x*((8*pi^3*x^3*sgn(d) + 24*I*pi^2*x^3*log(abs(d))*sgn(d) - 24*pi*x^3*log(abs(d))^2*sgn(d) - 8*pi^3*x^3 - 24*I*pi^2*x^3*log(abs(d)) + 24*pi*x^3*log(abs(d))^2 + 16*I*x^3*log(abs(d))^3 + 24*pi^2*x^3*sgn(d) + 48*I*pi*x^3*log(abs(d))*sgn(d) - 24*pi^2*x^3 - 48*I*pi*x^3*log(abs(d)) + 48*x^3*log(abs(d))^2 - 24*I*pi^2*x^2*sgn(d) + 24*pi*x^3*sgn(d) + 48*pi*x^2*log(abs(d))*sgn(d) + 24*I*pi^2*x^2 - 24*pi*x^3 - 48*pi*x^2*log(abs(d)) - 48*I*x^3*log(abs(d)) - 48*I*x^2*log(abs(d))^2 - 48*I*pi*x^2*sgn(d) + 48*I*pi*x^2 - 16*x^3 - 96*x^2*log(abs(d)) - 48*pi*x*sgn(d) + 48*pi*x + 48*I*x^2 + 96*I*x*log(abs(d)) + 96*x - 96*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x - I*x)/(64*pi - 16*pi^4*sgn(d) - 64*I*pi^3*log(abs(d))*sgn(d) + 96*pi^2*log(abs(d))^2*sgn(d) + 64*I*pi*log(abs(d))^3*sgn(d) + 16*pi^4 + 64*I*pi^3*log(abs(d)) - 96*pi^2*log(abs(d))^2 - 64*I*pi*log(abs(d))^3 + 32*log(abs(d))^4 - 64*pi^3*sgn(d) - 192*I*pi^2*log(abs(d))*sgn(d) + 192*pi*log(abs(d))^2*sgn(d) + 64*pi^3 + 192*I*pi^2*log(abs(d)) - 192*pi*log(abs(d))^2 - 128*I*log(abs(d))^3 - 96*pi^2*sgn(d) - 192*I*pi*log(abs(d))*sgn(d) + 96*pi^2 + 192*I*pi*log(abs(d)) - 192*log(abs(d))^2 - 64*pi*sgn(d) + 128*I*log(abs(d)) + 32) - (8*pi^3*x^3*sgn(d) - 24*I*pi^2*x^3*log(abs(d))*sgn(d) - 24*pi*x^3*log(abs(d))^2*sgn(d) - 8*pi^3*x^3 + 24*I*pi^2*x^3*log(abs(d)) + 24*pi*x^3*log(abs(d))^2 - 16*I*x^3*log(abs(d))^3 + 24*pi^2*x^3*sgn(d) - 48*I*pi*x^3*log(abs(d))*sgn(d) - 24*pi^2*x^3 + 48*I*pi*x^3*log(abs(d)) + 48*x^3*log(abs(d))^2 + 24*I*pi^2*x^2*sgn(d) + 24*pi*x^3*sgn(d) + 48*pi*x^2*log(abs(d))*sgn(d) - 24*I*pi^2*x^2 - 24*pi*x^3 - 48*pi*x^2*log(abs(d)) + 48*I*x^3*log(abs(d)) + 48*I*x^2*log(abs(d))^2 + 48*I*pi*x^2*sgn(d) - 48*I*pi*x^2 - 16*x^3 - 96*x^2*log(abs(d)) - 48*pi*x*sgn(d) + 48*pi*x - 48*I*x^2 - 96*I*x*log(abs(d)) + 96*x + 96*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x + I*x)/(64*pi - 16*pi^4*sgn(d) + 64*I*pi^3*log(abs(d))*sgn(d) + 96*pi^2*log(abs(d))^2*sgn(d) - 64*I*pi*log(abs(d))^3*sgn(d) + 16*pi^4 - 64*I*pi^3*log(abs(d)) - 96*pi^2*log(abs(d))^2 + 64*I*pi*log(abs(d))^3 + 32*log(abs(d))^4 - 64*pi^3*sgn(d) + 192*I*pi^2*log(abs(d))*sgn(d) + 192*pi*log(abs(d))^2*sgn(d) + 64*pi^3 - 192*I*pi^2*log(abs(d)) - 192*pi*log(abs(d))^2 + 128*I*log(abs(d))^3 - 96*pi^2*sgn(d) + 192*I*pi*log(abs(d))*sgn(d) + 96*pi^2 - 192*I*pi*log(abs(d)) - 192*log(abs(d))^2 - 64*pi*sgn(d) - 128*I*log(abs(d)) + 32))","C",0
141,1,5075,0,1.745362," ","integrate(d^x*x^3*cos(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left({\left(\frac{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 2 \, x^{3} \log\left({\left| d \right|}\right)^{3} - 6 \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi x^{3} \log\left({\left| d \right|}\right) - 3 \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{2} - 6 \, x^{3} \log\left({\left| d \right|}\right) - 6 \, x^{2} \log\left({\left| d \right|}\right)^{2} + 6 \, \pi x^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi x^{2} + 6 \, x^{2} + 12 \, x \log\left({\left| d \right|}\right) - 12\right)}}{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{3} x^{3} + 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{3} - 6 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} - 6 \, \pi x^{2} \log\left({\left| d \right|}\right) + 2 \, x^{3} + 12 \, x^{2} \log\left({\left| d \right|}\right) - 6 \, \pi x \mathrm{sgn}\left(d\right) + 6 \, \pi x - 12 \, x\right)} {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right) + {\left(\frac{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)} {\left(\pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{3} x^{3} + 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} - 3 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{3} - 6 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} - 6 \, \pi x^{2} \log\left({\left| d \right|}\right) + 2 \, x^{3} + 12 \, x^{2} \log\left({\left| d \right|}\right) - 6 \, \pi x \mathrm{sgn}\left(d\right) + 6 \, \pi x - 12 \, x\right)}}{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{4 \, {\left(3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 2 \, x^{3} \log\left({\left| d \right|}\right)^{3} - 6 \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 6 \, \pi x^{3} \log\left({\left| d \right|}\right) - 3 \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{2} - 6 \, x^{3} \log\left({\left| d \right|}\right) - 6 \, x^{2} \log\left({\left| d \right|}\right)^{2} + 6 \, \pi x^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi x^{2} + 6 \, x^{2} + 12 \, x \log\left({\left| d \right|}\right) - 12\right)} {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(4 \, \pi + \pi^{4} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{4} + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} + 6 \, \pi^{2} \mathrm{sgn}\left(d\right) - 6 \, \pi^{2} + 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) - 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x + x\right)\right)} {\left| d \right|}^{x} + \frac{1}{2} \, {\left({\left(\frac{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 2 \, x^{3} \log\left({\left| d \right|}\right)^{3} + 6 \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi x^{3} \log\left({\left| d \right|}\right) - 3 \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{2} - 6 \, x^{3} \log\left({\left| d \right|}\right) - 6 \, x^{2} \log\left({\left| d \right|}\right)^{2} - 6 \, \pi x^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} + 6 \, x^{2} + 12 \, x \log\left({\left| d \right|}\right) - 12\right)}}{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} + \frac{4 \, {\left(\pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{3} x^{3} + 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} + 6 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} - 6 \, \pi x^{2} \log\left({\left| d \right|}\right) - 2 \, x^{3} - 12 \, x^{2} \log\left({\left| d \right|}\right) - 6 \, \pi x \mathrm{sgn}\left(d\right) + 6 \, \pi x + 12 \, x\right)} {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right) + {\left(\frac{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)} {\left(\pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - \pi^{3} x^{3} + 3 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} + 6 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 3 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi x^{3} - 6 \, \pi x^{2} \log\left({\left| d \right|}\right) - 2 \, x^{3} - 12 \, x^{2} \log\left({\left| d \right|}\right) - 6 \, \pi x \mathrm{sgn}\left(d\right) + 6 \, \pi x + 12 \, x\right)}}{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}} - \frac{4 \, {\left(3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 2 \, x^{3} \log\left({\left| d \right|}\right)^{3} + 6 \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 6 \, \pi x^{3} \log\left({\left| d \right|}\right) - 3 \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 3 \, \pi^{2} x^{2} - 6 \, x^{3} \log\left({\left| d \right|}\right) - 6 \, x^{2} \log\left({\left| d \right|}\right)^{2} - 6 \, \pi x^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi x^{2} + 6 \, x^{2} + 12 \, x \log\left({\left| d \right|}\right) - 12\right)} {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}}{{\left(4 \, \pi - \pi^{4} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + \pi^{4} - 6 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 2 \, \log\left({\left| d \right|}\right)^{4} - 4 \, \pi^{3} \mathrm{sgn}\left(d\right) + 12 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 4 \, \pi^{3} - 12 \, \pi \log\left({\left| d \right|}\right)^{2} - 6 \, \pi^{2} \mathrm{sgn}\left(d\right) + 6 \, \pi^{2} - 12 \, \log\left({\left| d \right|}\right)^{2} - 4 \, \pi \mathrm{sgn}\left(d\right) + 2\right)}^{2} + 16 \, {\left(\pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - \pi^{3} \log\left({\left| d \right|}\right) + \pi \log\left({\left| d \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi^{2} \log\left({\left| d \right|}\right) + 2 \, \log\left({\left| d \right|}\right)^{3} + 3 \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 3 \, \pi \log\left({\left| d \right|}\right) - 2 \, \log\left({\left| d \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} \, \pi x - x\right)\right)} {\left| d \right|}^{x} - \frac{1}{2} i \, {\left| d \right|}^{x} {\left(\frac{{\left(8 \, \pi^{3} x^{3} \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi^{3} x^{3} - 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} + 16 i \, x^{3} \log\left({\left| d \right|}\right)^{3} - 24 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) - 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} x^{3} + 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) - 48 \, x^{3} \log\left({\left| d \right|}\right)^{2} - 24 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 24 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 48 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} x^{2} - 24 \, \pi x^{3} - 48 \, \pi x^{2} \log\left({\left| d \right|}\right) - 48 i \, x^{3} \log\left({\left| d \right|}\right) - 48 i \, x^{2} \log\left({\left| d \right|}\right)^{2} + 48 i \, \pi x^{2} \mathrm{sgn}\left(d\right) - 48 i \, \pi x^{2} + 16 \, x^{3} + 96 \, x^{2} \log\left({\left| d \right|}\right) - 48 \, \pi x \mathrm{sgn}\left(d\right) + 48 \, \pi x + 48 i \, x^{2} + 96 i \, x \log\left({\left| d \right|}\right) - 96 \, x - 96 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x + i \, x\right)}}{64 \, \pi + 16 \, \pi^{4} \mathrm{sgn}\left(d\right) + 64 i \, \pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 64 i \, \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - 16 \, \pi^{4} - 64 i \, \pi^{3} \log\left({\left| d \right|}\right) + 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 64 i \, \pi \log\left({\left| d \right|}\right)^{3} - 32 \, \log\left({\left| d \right|}\right)^{4} - 64 \, \pi^{3} \mathrm{sgn}\left(d\right) - 192 i \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 192 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 \, \pi^{3} + 192 i \, \pi^{2} \log\left({\left| d \right|}\right) - 192 \, \pi \log\left({\left| d \right|}\right)^{2} - 128 i \, \log\left({\left| d \right|}\right)^{3} + 96 \, \pi^{2} \mathrm{sgn}\left(d\right) + 192 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 96 \, \pi^{2} - 192 i \, \pi \log\left({\left| d \right|}\right) + 192 \, \log\left({\left| d \right|}\right)^{2} - 64 \, \pi \mathrm{sgn}\left(d\right) + 128 i \, \log\left({\left| d \right|}\right) - 32} + \frac{{\left(8 \, \pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi^{3} x^{3} + 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} - 16 i \, x^{3} \log\left({\left| d \right|}\right)^{3} - 24 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) + 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 \, \pi^{2} x^{3} - 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) - 48 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 24 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 24 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 48 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} x^{2} - 24 \, \pi x^{3} - 48 \, \pi x^{2} \log\left({\left| d \right|}\right) + 48 i \, x^{3} \log\left({\left| d \right|}\right) + 48 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 48 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 48 i \, \pi x^{2} + 16 \, x^{3} + 96 \, x^{2} \log\left({\left| d \right|}\right) - 48 \, \pi x \mathrm{sgn}\left(d\right) + 48 \, \pi x - 48 i \, x^{2} - 96 i \, x \log\left({\left| d \right|}\right) - 96 \, x + 96 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x - i \, x\right)}}{64 \, \pi + 16 \, \pi^{4} \mathrm{sgn}\left(d\right) - 64 i \, \pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 i \, \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) - 16 \, \pi^{4} + 64 i \, \pi^{3} \log\left({\left| d \right|}\right) + 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 64 i \, \pi \log\left({\left| d \right|}\right)^{3} - 32 \, \log\left({\left| d \right|}\right)^{4} - 64 \, \pi^{3} \mathrm{sgn}\left(d\right) + 192 i \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 192 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 \, \pi^{3} - 192 i \, \pi^{2} \log\left({\left| d \right|}\right) - 192 \, \pi \log\left({\left| d \right|}\right)^{2} + 128 i \, \log\left({\left| d \right|}\right)^{3} + 96 \, \pi^{2} \mathrm{sgn}\left(d\right) - 192 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 96 \, \pi^{2} + 192 i \, \pi \log\left({\left| d \right|}\right) + 192 \, \log\left({\left| d \right|}\right)^{2} - 64 \, \pi \mathrm{sgn}\left(d\right) - 128 i \, \log\left({\left| d \right|}\right) - 32}\right)} + \frac{1}{2} i \, {\left| d \right|}^{x} {\left(\frac{{\left(8 \, \pi^{3} x^{3} \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi^{3} x^{3} - 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} + 16 i \, x^{3} \log\left({\left| d \right|}\right)^{3} + 24 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) + 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi^{2} x^{3} - 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) + 48 \, x^{3} \log\left({\left| d \right|}\right)^{2} - 24 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 24 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 48 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 24 i \, \pi^{2} x^{2} - 24 \, \pi x^{3} - 48 \, \pi x^{2} \log\left({\left| d \right|}\right) - 48 i \, x^{3} \log\left({\left| d \right|}\right) - 48 i \, x^{2} \log\left({\left| d \right|}\right)^{2} - 48 i \, \pi x^{2} \mathrm{sgn}\left(d\right) + 48 i \, \pi x^{2} - 16 \, x^{3} - 96 \, x^{2} \log\left({\left| d \right|}\right) - 48 \, \pi x \mathrm{sgn}\left(d\right) + 48 \, \pi x + 48 i \, x^{2} + 96 i \, x \log\left({\left| d \right|}\right) + 96 \, x - 96 i\right)} e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) - \frac{1}{2} i \, \pi x - i \, x\right)}}{64 \, \pi - 16 \, \pi^{4} \mathrm{sgn}\left(d\right) - 64 i \, \pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 i \, \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) + 16 \, \pi^{4} + 64 i \, \pi^{3} \log\left({\left| d \right|}\right) - 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} - 64 i \, \pi \log\left({\left| d \right|}\right)^{3} + 32 \, \log\left({\left| d \right|}\right)^{4} - 64 \, \pi^{3} \mathrm{sgn}\left(d\right) - 192 i \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 192 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 \, \pi^{3} + 192 i \, \pi^{2} \log\left({\left| d \right|}\right) - 192 \, \pi \log\left({\left| d \right|}\right)^{2} - 128 i \, \log\left({\left| d \right|}\right)^{3} - 96 \, \pi^{2} \mathrm{sgn}\left(d\right) - 192 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 96 \, \pi^{2} + 192 i \, \pi \log\left({\left| d \right|}\right) - 192 \, \log\left({\left| d \right|}\right)^{2} - 64 \, \pi \mathrm{sgn}\left(d\right) + 128 i \, \log\left({\left| d \right|}\right) + 32} + \frac{{\left(8 \, \pi^{3} x^{3} \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 8 \, \pi^{3} x^{3} + 24 i \, \pi^{2} x^{3} \log\left({\left| d \right|}\right) + 24 \, \pi x^{3} \log\left({\left| d \right|}\right)^{2} - 16 i \, x^{3} \log\left({\left| d \right|}\right)^{3} + 24 \, \pi^{2} x^{3} \mathrm{sgn}\left(d\right) - 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 \, \pi^{2} x^{3} + 48 i \, \pi x^{3} \log\left({\left| d \right|}\right) + 48 \, x^{3} \log\left({\left| d \right|}\right)^{2} + 24 i \, \pi^{2} x^{2} \mathrm{sgn}\left(d\right) + 24 \, \pi x^{3} \mathrm{sgn}\left(d\right) + 48 \, \pi x^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) - 24 i \, \pi^{2} x^{2} - 24 \, \pi x^{3} - 48 \, \pi x^{2} \log\left({\left| d \right|}\right) + 48 i \, x^{3} \log\left({\left| d \right|}\right) + 48 i \, x^{2} \log\left({\left| d \right|}\right)^{2} + 48 i \, \pi x^{2} \mathrm{sgn}\left(d\right) - 48 i \, \pi x^{2} - 16 \, x^{3} - 96 \, x^{2} \log\left({\left| d \right|}\right) - 48 \, \pi x \mathrm{sgn}\left(d\right) + 48 \, \pi x - 48 i \, x^{2} - 96 i \, x \log\left({\left| d \right|}\right) + 96 \, x + 96 i\right)} e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(d\right) + \frac{1}{2} i \, \pi x + i \, x\right)}}{64 \, \pi - 16 \, \pi^{4} \mathrm{sgn}\left(d\right) + 64 i \, \pi^{3} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) - 64 i \, \pi \log\left({\left| d \right|}\right)^{3} \mathrm{sgn}\left(d\right) + 16 \, \pi^{4} - 64 i \, \pi^{3} \log\left({\left| d \right|}\right) - 96 \, \pi^{2} \log\left({\left| d \right|}\right)^{2} + 64 i \, \pi \log\left({\left| d \right|}\right)^{3} + 32 \, \log\left({\left| d \right|}\right)^{4} - 64 \, \pi^{3} \mathrm{sgn}\left(d\right) + 192 i \, \pi^{2} \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 192 \, \pi \log\left({\left| d \right|}\right)^{2} \mathrm{sgn}\left(d\right) + 64 \, \pi^{3} - 192 i \, \pi^{2} \log\left({\left| d \right|}\right) - 192 \, \pi \log\left({\left| d \right|}\right)^{2} + 128 i \, \log\left({\left| d \right|}\right)^{3} - 96 \, \pi^{2} \mathrm{sgn}\left(d\right) + 192 i \, \pi \log\left({\left| d \right|}\right) \mathrm{sgn}\left(d\right) + 96 \, \pi^{2} - 192 i \, \pi \log\left({\left| d \right|}\right) - 192 \, \log\left({\left| d \right|}\right)^{2} - 64 \, \pi \mathrm{sgn}\left(d\right) - 128 i \, \log\left({\left| d \right|}\right) + 32}\right)}"," ",0,"-1/2*(((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)*(3*pi^2*x^3*log(abs(d))*sgn(d) - 3*pi^2*x^3*log(abs(d)) + 2*x^3*log(abs(d))^3 - 6*pi*x^3*log(abs(d))*sgn(d) + 6*pi*x^3*log(abs(d)) - 3*pi^2*x^2*sgn(d) + 3*pi^2*x^2 - 6*x^3*log(abs(d)) - 6*x^2*log(abs(d))^2 + 6*pi*x^2*sgn(d) - 6*pi*x^2 + 6*x^2 + 12*x*log(abs(d)) - 12)/((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))^2) - 4*(pi^3*x^3*sgn(d) - 3*pi*x^3*log(abs(d))^2*sgn(d) - pi^3*x^3 + 3*pi*x^3*log(abs(d))^2 - 3*pi^2*x^3*sgn(d) + 3*pi^2*x^3 - 6*x^3*log(abs(d))^2 + 3*pi*x^3*sgn(d) + 6*pi*x^2*log(abs(d))*sgn(d) - 3*pi*x^3 - 6*pi*x^2*log(abs(d)) + 2*x^3 + 12*x^2*log(abs(d)) - 6*pi*x*sgn(d) + 6*pi*x - 12*x)*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))/((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x + x) + ((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)*(pi^3*x^3*sgn(d) - 3*pi*x^3*log(abs(d))^2*sgn(d) - pi^3*x^3 + 3*pi*x^3*log(abs(d))^2 - 3*pi^2*x^3*sgn(d) + 3*pi^2*x^3 - 6*x^3*log(abs(d))^2 + 3*pi*x^3*sgn(d) + 6*pi*x^2*log(abs(d))*sgn(d) - 3*pi*x^3 - 6*pi*x^2*log(abs(d)) + 2*x^3 + 12*x^2*log(abs(d)) - 6*pi*x*sgn(d) + 6*pi*x - 12*x)/((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))^2) + 4*(3*pi^2*x^3*log(abs(d))*sgn(d) - 3*pi^2*x^3*log(abs(d)) + 2*x^3*log(abs(d))^3 - 6*pi*x^3*log(abs(d))*sgn(d) + 6*pi*x^3*log(abs(d)) - 3*pi^2*x^2*sgn(d) + 3*pi^2*x^2 - 6*x^3*log(abs(d)) - 6*x^2*log(abs(d))^2 + 6*pi*x^2*sgn(d) - 6*pi*x^2 + 6*x^2 + 12*x*log(abs(d)) - 12)*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))/((4*pi + pi^4*sgn(d) - 6*pi^2*log(abs(d))^2*sgn(d) - pi^4 + 6*pi^2*log(abs(d))^2 - 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 + 6*pi^2*sgn(d) - 6*pi^2 + 12*log(abs(d))^2 - 4*pi*sgn(d) - 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 - 3*pi^2*log(abs(d))*sgn(d) + 3*pi^2*log(abs(d)) - 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) + 2*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x + x))*abs(d)^x + 1/2*(((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)*(3*pi^2*x^3*log(abs(d))*sgn(d) - 3*pi^2*x^3*log(abs(d)) + 2*x^3*log(abs(d))^3 + 6*pi*x^3*log(abs(d))*sgn(d) - 6*pi*x^3*log(abs(d)) - 3*pi^2*x^2*sgn(d) + 3*pi^2*x^2 - 6*x^3*log(abs(d)) - 6*x^2*log(abs(d))^2 - 6*pi*x^2*sgn(d) + 6*pi*x^2 + 6*x^2 + 12*x*log(abs(d)) - 12)/((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))^2) + 4*(pi^3*x^3*sgn(d) - 3*pi*x^3*log(abs(d))^2*sgn(d) - pi^3*x^3 + 3*pi*x^3*log(abs(d))^2 + 3*pi^2*x^3*sgn(d) - 3*pi^2*x^3 + 6*x^3*log(abs(d))^2 + 3*pi*x^3*sgn(d) + 6*pi*x^2*log(abs(d))*sgn(d) - 3*pi*x^3 - 6*pi*x^2*log(abs(d)) - 2*x^3 - 12*x^2*log(abs(d)) - 6*pi*x*sgn(d) + 6*pi*x + 12*x)*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))/((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))^2))*cos(1/2*pi*x*sgn(d) - 1/2*pi*x - x) + ((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)*(pi^3*x^3*sgn(d) - 3*pi*x^3*log(abs(d))^2*sgn(d) - pi^3*x^3 + 3*pi*x^3*log(abs(d))^2 + 3*pi^2*x^3*sgn(d) - 3*pi^2*x^3 + 6*x^3*log(abs(d))^2 + 3*pi*x^3*sgn(d) + 6*pi*x^2*log(abs(d))*sgn(d) - 3*pi*x^3 - 6*pi*x^2*log(abs(d)) - 2*x^3 - 12*x^2*log(abs(d)) - 6*pi*x*sgn(d) + 6*pi*x + 12*x)/((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))^2) - 4*(3*pi^2*x^3*log(abs(d))*sgn(d) - 3*pi^2*x^3*log(abs(d)) + 2*x^3*log(abs(d))^3 + 6*pi*x^3*log(abs(d))*sgn(d) - 6*pi*x^3*log(abs(d)) - 3*pi^2*x^2*sgn(d) + 3*pi^2*x^2 - 6*x^3*log(abs(d)) - 6*x^2*log(abs(d))^2 - 6*pi*x^2*sgn(d) + 6*pi*x^2 + 6*x^2 + 12*x*log(abs(d)) - 12)*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))/((4*pi - pi^4*sgn(d) + 6*pi^2*log(abs(d))^2*sgn(d) + pi^4 - 6*pi^2*log(abs(d))^2 + 2*log(abs(d))^4 - 4*pi^3*sgn(d) + 12*pi*log(abs(d))^2*sgn(d) + 4*pi^3 - 12*pi*log(abs(d))^2 - 6*pi^2*sgn(d) + 6*pi^2 - 12*log(abs(d))^2 - 4*pi*sgn(d) + 2)^2 + 16*(pi^3*log(abs(d))*sgn(d) - pi*log(abs(d))^3*sgn(d) - pi^3*log(abs(d)) + pi*log(abs(d))^3 + 3*pi^2*log(abs(d))*sgn(d) - 3*pi^2*log(abs(d)) + 2*log(abs(d))^3 + 3*pi*log(abs(d))*sgn(d) - 3*pi*log(abs(d)) - 2*log(abs(d)))^2))*sin(1/2*pi*x*sgn(d) - 1/2*pi*x - x))*abs(d)^x - 1/2*I*abs(d)^x*((8*pi^3*x^3*sgn(d) + 24*I*pi^2*x^3*log(abs(d))*sgn(d) - 24*pi*x^3*log(abs(d))^2*sgn(d) - 8*pi^3*x^3 - 24*I*pi^2*x^3*log(abs(d)) + 24*pi*x^3*log(abs(d))^2 + 16*I*x^3*log(abs(d))^3 - 24*pi^2*x^3*sgn(d) - 48*I*pi*x^3*log(abs(d))*sgn(d) + 24*pi^2*x^3 + 48*I*pi*x^3*log(abs(d)) - 48*x^3*log(abs(d))^2 - 24*I*pi^2*x^2*sgn(d) + 24*pi*x^3*sgn(d) + 48*pi*x^2*log(abs(d))*sgn(d) + 24*I*pi^2*x^2 - 24*pi*x^3 - 48*pi*x^2*log(abs(d)) - 48*I*x^3*log(abs(d)) - 48*I*x^2*log(abs(d))^2 + 48*I*pi*x^2*sgn(d) - 48*I*pi*x^2 + 16*x^3 + 96*x^2*log(abs(d)) - 48*pi*x*sgn(d) + 48*pi*x + 48*I*x^2 + 96*I*x*log(abs(d)) - 96*x - 96*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x + I*x)/(64*pi + 16*pi^4*sgn(d) + 64*I*pi^3*log(abs(d))*sgn(d) - 96*pi^2*log(abs(d))^2*sgn(d) - 64*I*pi*log(abs(d))^3*sgn(d) - 16*pi^4 - 64*I*pi^3*log(abs(d)) + 96*pi^2*log(abs(d))^2 + 64*I*pi*log(abs(d))^3 - 32*log(abs(d))^4 - 64*pi^3*sgn(d) - 192*I*pi^2*log(abs(d))*sgn(d) + 192*pi*log(abs(d))^2*sgn(d) + 64*pi^3 + 192*I*pi^2*log(abs(d)) - 192*pi*log(abs(d))^2 - 128*I*log(abs(d))^3 + 96*pi^2*sgn(d) + 192*I*pi*log(abs(d))*sgn(d) - 96*pi^2 - 192*I*pi*log(abs(d)) + 192*log(abs(d))^2 - 64*pi*sgn(d) + 128*I*log(abs(d)) - 32) + (8*pi^3*x^3*sgn(d) - 24*I*pi^2*x^3*log(abs(d))*sgn(d) - 24*pi*x^3*log(abs(d))^2*sgn(d) - 8*pi^3*x^3 + 24*I*pi^2*x^3*log(abs(d)) + 24*pi*x^3*log(abs(d))^2 - 16*I*x^3*log(abs(d))^3 - 24*pi^2*x^3*sgn(d) + 48*I*pi*x^3*log(abs(d))*sgn(d) + 24*pi^2*x^3 - 48*I*pi*x^3*log(abs(d)) - 48*x^3*log(abs(d))^2 + 24*I*pi^2*x^2*sgn(d) + 24*pi*x^3*sgn(d) + 48*pi*x^2*log(abs(d))*sgn(d) - 24*I*pi^2*x^2 - 24*pi*x^3 - 48*pi*x^2*log(abs(d)) + 48*I*x^3*log(abs(d)) + 48*I*x^2*log(abs(d))^2 - 48*I*pi*x^2*sgn(d) + 48*I*pi*x^2 + 16*x^3 + 96*x^2*log(abs(d)) - 48*pi*x*sgn(d) + 48*pi*x - 48*I*x^2 - 96*I*x*log(abs(d)) - 96*x + 96*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x - I*x)/(64*pi + 16*pi^4*sgn(d) - 64*I*pi^3*log(abs(d))*sgn(d) - 96*pi^2*log(abs(d))^2*sgn(d) + 64*I*pi*log(abs(d))^3*sgn(d) - 16*pi^4 + 64*I*pi^3*log(abs(d)) + 96*pi^2*log(abs(d))^2 - 64*I*pi*log(abs(d))^3 - 32*log(abs(d))^4 - 64*pi^3*sgn(d) + 192*I*pi^2*log(abs(d))*sgn(d) + 192*pi*log(abs(d))^2*sgn(d) + 64*pi^3 - 192*I*pi^2*log(abs(d)) - 192*pi*log(abs(d))^2 + 128*I*log(abs(d))^3 + 96*pi^2*sgn(d) - 192*I*pi*log(abs(d))*sgn(d) - 96*pi^2 + 192*I*pi*log(abs(d)) + 192*log(abs(d))^2 - 64*pi*sgn(d) - 128*I*log(abs(d)) - 32)) + 1/2*I*abs(d)^x*((8*pi^3*x^3*sgn(d) + 24*I*pi^2*x^3*log(abs(d))*sgn(d) - 24*pi*x^3*log(abs(d))^2*sgn(d) - 8*pi^3*x^3 - 24*I*pi^2*x^3*log(abs(d)) + 24*pi*x^3*log(abs(d))^2 + 16*I*x^3*log(abs(d))^3 + 24*pi^2*x^3*sgn(d) + 48*I*pi*x^3*log(abs(d))*sgn(d) - 24*pi^2*x^3 - 48*I*pi*x^3*log(abs(d)) + 48*x^3*log(abs(d))^2 - 24*I*pi^2*x^2*sgn(d) + 24*pi*x^3*sgn(d) + 48*pi*x^2*log(abs(d))*sgn(d) + 24*I*pi^2*x^2 - 24*pi*x^3 - 48*pi*x^2*log(abs(d)) - 48*I*x^3*log(abs(d)) - 48*I*x^2*log(abs(d))^2 - 48*I*pi*x^2*sgn(d) + 48*I*pi*x^2 - 16*x^3 - 96*x^2*log(abs(d)) - 48*pi*x*sgn(d) + 48*pi*x + 48*I*x^2 + 96*I*x*log(abs(d)) + 96*x - 96*I)*e^(1/2*I*pi*x*sgn(d) - 1/2*I*pi*x - I*x)/(64*pi - 16*pi^4*sgn(d) - 64*I*pi^3*log(abs(d))*sgn(d) + 96*pi^2*log(abs(d))^2*sgn(d) + 64*I*pi*log(abs(d))^3*sgn(d) + 16*pi^4 + 64*I*pi^3*log(abs(d)) - 96*pi^2*log(abs(d))^2 - 64*I*pi*log(abs(d))^3 + 32*log(abs(d))^4 - 64*pi^3*sgn(d) - 192*I*pi^2*log(abs(d))*sgn(d) + 192*pi*log(abs(d))^2*sgn(d) + 64*pi^3 + 192*I*pi^2*log(abs(d)) - 192*pi*log(abs(d))^2 - 128*I*log(abs(d))^3 - 96*pi^2*sgn(d) - 192*I*pi*log(abs(d))*sgn(d) + 96*pi^2 + 192*I*pi*log(abs(d)) - 192*log(abs(d))^2 - 64*pi*sgn(d) + 128*I*log(abs(d)) + 32) + (8*pi^3*x^3*sgn(d) - 24*I*pi^2*x^3*log(abs(d))*sgn(d) - 24*pi*x^3*log(abs(d))^2*sgn(d) - 8*pi^3*x^3 + 24*I*pi^2*x^3*log(abs(d)) + 24*pi*x^3*log(abs(d))^2 - 16*I*x^3*log(abs(d))^3 + 24*pi^2*x^3*sgn(d) - 48*I*pi*x^3*log(abs(d))*sgn(d) - 24*pi^2*x^3 + 48*I*pi*x^3*log(abs(d)) + 48*x^3*log(abs(d))^2 + 24*I*pi^2*x^2*sgn(d) + 24*pi*x^3*sgn(d) + 48*pi*x^2*log(abs(d))*sgn(d) - 24*I*pi^2*x^2 - 24*pi*x^3 - 48*pi*x^2*log(abs(d)) + 48*I*x^3*log(abs(d)) + 48*I*x^2*log(abs(d))^2 + 48*I*pi*x^2*sgn(d) - 48*I*pi*x^2 - 16*x^3 - 96*x^2*log(abs(d)) - 48*pi*x*sgn(d) + 48*pi*x - 48*I*x^2 - 96*I*x*log(abs(d)) + 96*x + 96*I)*e^(-1/2*I*pi*x*sgn(d) + 1/2*I*pi*x + I*x)/(64*pi - 16*pi^4*sgn(d) + 64*I*pi^3*log(abs(d))*sgn(d) + 96*pi^2*log(abs(d))^2*sgn(d) - 64*I*pi*log(abs(d))^3*sgn(d) + 16*pi^4 - 64*I*pi^3*log(abs(d)) - 96*pi^2*log(abs(d))^2 + 64*I*pi*log(abs(d))^3 + 32*log(abs(d))^4 - 64*pi^3*sgn(d) + 192*I*pi^2*log(abs(d))*sgn(d) + 192*pi*log(abs(d))^2*sgn(d) + 64*pi^3 - 192*I*pi^2*log(abs(d)) - 192*pi*log(abs(d))^2 + 128*I*log(abs(d))^3 - 96*pi^2*sgn(d) + 192*I*pi*log(abs(d))*sgn(d) + 96*pi^2 - 192*I*pi*log(abs(d)) - 192*log(abs(d))^2 - 64*pi*sgn(d) - 128*I*log(abs(d)) + 32))","C",0
142,1,13,0,1.107557," ","integrate(sin(x)*sin(2*x)*sin(3*x),x, algorithm=""giac"")","-\frac{4}{3} \, \sin\left(x\right)^{6} + \frac{3}{2} \, \sin\left(x\right)^{4}"," ",0,"-4/3*sin(x)^6 + 3/2*sin(x)^4","A",0
143,1,22,0,1.177522," ","integrate(cos(x)*cos(2*x)*cos(3*x),x, algorithm=""giac"")","\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
144,1,60,0,1.138849," ","integrate(x^2*sin(k*x)^3,x, algorithm=""giac"")","-\frac{x \sin\left(3 \, k x\right)}{18 \, k^{2}} + \frac{3 \, x \sin\left(k x\right)}{2 \, k^{2}} + \frac{{\left(9 \, k^{2} x^{2} - 2\right)} \cos\left(3 \, k x\right)}{108 \, k^{3}} - \frac{3 \, {\left(k^{2} x^{2} - 2\right)} \cos\left(k x\right)}{4 \, k^{3}}"," ",0,"-1/18*x*sin(3*k*x)/k^2 + 3/2*x*sin(k*x)/k^2 + 1/108*(9*k^2*x^2 - 2)*cos(3*k*x)/k^3 - 3/4*(k^2*x^2 - 2)*cos(k*x)/k^3","A",0
145,0,0,0,0.000000," ","integrate(x*cos(x)*cos(k/sin(x))/sin(x)^2,x, algorithm=""giac"")","\int \frac{x \cos\left(x\right) \cos\left(\frac{k}{\sin\left(x\right)}\right)}{\sin\left(x\right)^{2}}\,{d x}"," ",0,"integrate(x*cos(x)*cos(k/sin(x))/sin(x)^2, x)","F",0
146,1,18,0,1.242691," ","integrate(cos(x)/sin(x)/tan(1/2*x),x, algorithm=""giac"")","-x - \frac{1}{2 \, \tan\left(\frac{1}{4} \, x\right)} + \frac{1}{2} \, \tan\left(\frac{1}{4} \, x\right)"," ",0,"-x - 1/2/tan(1/4*x) + 1/2*tan(1/4*x)","A",0
147,1,98,0,1.052950," ","integrate(sin(a*x)/(b+c*sin(a*x))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(\pi \left \lfloor \frac{a x}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(b\right) + \arctan\left(\frac{b \tan\left(\frac{1}{2} \, a x\right) + c}{\sqrt{b^{2} - c^{2}}}\right)\right)} c}{{\left(b^{2} - c^{2}\right)}^{\frac{3}{2}}} + \frac{c \tan\left(\frac{1}{2} \, a x\right) + b}{{\left(b \tan\left(\frac{1}{2} \, a x\right)^{2} + 2 \, c \tan\left(\frac{1}{2} \, a x\right) + b\right)} {\left(b^{2} - c^{2}\right)}}\right)}}{a}"," ",0,"-2*((pi*floor(1/2*a*x/pi + 1/2)*sgn(b) + arctan((b*tan(1/2*a*x) + c)/sqrt(b^2 - c^2)))*c/(b^2 - c^2)^(3/2) + (c*tan(1/2*a*x) + b)/((b*tan(1/2*a*x)^2 + 2*c*tan(1/2*a*x) + b)*(b^2 - c^2)))/a","A",0
148,1,13,0,1.052736," ","integrate(sin(log(x)),x, algorithm=""giac"")","-\frac{1}{2} \, x \cos\left(\log\left(x\right)\right) + \frac{1}{2} \, x \sin\left(\log\left(x\right)\right)"," ",0,"-1/2*x*cos(log(x)) + 1/2*x*sin(log(x))","A",0
149,1,13,0,1.007966," ","integrate(cos(log(x)),x, algorithm=""giac"")","\frac{1}{2} \, x \cos\left(\log\left(x\right)\right) + \frac{1}{2} \, x \sin\left(\log\left(x\right)\right)"," ",0,"1/2*x*cos(log(x)) + 1/2*x*sin(log(x))","A",0
150,1,2,0,1.033316," ","integrate(exp(x),x, algorithm=""giac"")","e^{x}"," ",0,"e^x","A",0
151,1,8,0,1.154907," ","integrate(a^x,x, algorithm=""giac"")","\frac{a^{x}}{\log\left(a\right)}"," ",0,"a^x/log(a)","A",0
152,1,8,0,1.039052," ","integrate(exp(a*x),x, algorithm=""giac"")","\frac{e^{\left(a x\right)}}{a}"," ",0,"e^(a*x)/a","A",0
153,1,4,0,1.171866," ","integrate(exp(a*x)/x,x, algorithm=""giac"")","{\rm Ei}\left(a x\right)"," ",0,"Ei(a*x)","A",0
154,1,26,0,1.306079," ","integrate(1/(a+b*exp(m*x)),x, algorithm=""giac"")","\frac{\frac{m x}{a} - \frac{\log\left({\left| b e^{\left(m x\right)} + a \right|}\right)}{a}}{m}"," ",0,"(m*x/a - log(abs(b*e^(m*x) + a))/a)/m","A",0
155,1,10,0,1.098713," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""giac"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
156,1,14,0,1.124897," ","integrate(exp(a*x+2*x),x, algorithm=""giac"")","\frac{e^{\left(a x + 2 \, x\right)}}{a + 2}"," ",0,"e^(a*x + 2*x)/(a + 2)","A",0
157,1,21,0,1.044462," ","integrate(1/(b/exp(m*x)+a*exp(m*x)),x, algorithm=""giac"")","\frac{\arctan\left(\frac{a e^{\left(m x\right)}}{\sqrt{a b}}\right)}{\sqrt{a b} m}"," ",0,"arctan(a*e^(m*x)/sqrt(a*b))/(sqrt(a*b)*m)","A",0
158,1,13,0,0.993177," ","integrate(exp(a*x)*x,x, algorithm=""giac"")","\frac{{\left(a x - 1\right)} e^{\left(a x\right)}}{a^{2}}"," ",0,"(a*x - 1)*e^(a*x)/a^2","A",0
159,1,101,0,1.209224," ","integrate(exp(x)*x^20,x, algorithm=""giac"")","{\left(x^{20} - 20 \, x^{19} + 380 \, x^{18} - 6840 \, x^{17} + 116280 \, x^{16} - 1860480 \, x^{15} + 27907200 \, x^{14} - 390700800 \, x^{13} + 5079110400 \, x^{12} - 60949324800 \, x^{11} + 670442572800 \, x^{10} - 6704425728000 \, x^{9} + 60339831552000 \, x^{8} - 482718652416000 \, x^{7} + 3379030566912000 \, x^{6} - 20274183401472000 \, x^{5} + 101370917007360000 \, x^{4} - 405483668029440000 \, x^{3} + 1216451004088320000 \, x^{2} - 2432902008176640000 \, x + 2432902008176640000\right)} e^{x}"," ",0,"(x^20 - 20*x^19 + 380*x^18 - 6840*x^17 + 116280*x^16 - 1860480*x^15 + 27907200*x^14 - 390700800*x^13 + 5079110400*x^12 - 60949324800*x^11 + 670442572800*x^10 - 6704425728000*x^9 + 60339831552000*x^8 - 482718652416000*x^7 + 3379030566912000*x^6 - 20274183401472000*x^5 + 101370917007360000*x^4 - 405483668029440000*x^3 + 1216451004088320000*x^2 - 2432902008176640000*x + 2432902008176640000)*e^x","A",0
160,1,216,0,1.441119," ","integrate(a^x/(b^x),x, algorithm=""giac"")","2 \, {\left(\frac{2 \, {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)} \cos\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) + \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right)\right)}{{\left(\pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}^{2}} - \frac{{\left(\pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)} \sin\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) + \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right)\right)}{{\left(\pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}^{2}}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} i \, \pi x \mathrm{sgn}\left(b\right)\right)}}{i \, \pi \mathrm{sgn}\left(a\right) - i \, \pi \mathrm{sgn}\left(b\right) + 2 \, \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| b \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(a\right) + \frac{1}{2} i \, \pi x \mathrm{sgn}\left(b\right)\right)}}{-i \, \pi \mathrm{sgn}\left(a\right) + i \, \pi \mathrm{sgn}\left(b\right) + 2 \, \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| b \right|}\right)}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}\right)}"," ",0,"2*(2*(log(abs(a)) - log(abs(b)))*cos(-1/2*pi*x*sgn(a) + 1/2*pi*x*sgn(b))/((pi*sgn(a) - pi*sgn(b))^2 + 4*(log(abs(a)) - log(abs(b)))^2) - (pi*sgn(a) - pi*sgn(b))*sin(-1/2*pi*x*sgn(a) + 1/2*pi*x*sgn(b))/((pi*sgn(a) - pi*sgn(b))^2 + 4*(log(abs(a)) - log(abs(b)))^2))*e^(x*(log(abs(a)) - log(abs(b)))) - 1/2*I*(-2*I*e^(1/2*I*pi*x*sgn(a) - 1/2*I*pi*x*sgn(b))/(I*pi*sgn(a) - I*pi*sgn(b) + 2*log(abs(a)) - 2*log(abs(b))) + 2*I*e^(-1/2*I*pi*x*sgn(a) + 1/2*I*pi*x*sgn(b))/(-I*pi*sgn(a) + I*pi*sgn(b) + 2*log(abs(a)) - 2*log(abs(b))))*e^(x*(log(abs(a)) - log(abs(b))))","C",0
161,1,237,0,1.503958," ","integrate(a^x*b^x,x, algorithm=""giac"")","2 \, {\left(\frac{2 \, {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)} \cos\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) + \pi x\right)}{{\left(2 \, \pi - \pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}^{2}} + \frac{{\left(2 \, \pi - \pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)} \sin\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) + \pi x\right)}{{\left(2 \, \pi - \pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}^{2}}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi x \mathrm{sgn}\left(a\right) + \frac{1}{2} i \, \pi x \mathrm{sgn}\left(b\right) - i \, \pi x\right)}}{-2 i \, \pi + i \, \pi \mathrm{sgn}\left(a\right) + i \, \pi \mathrm{sgn}\left(b\right) + 2 \, \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| b \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} i \, \pi x \mathrm{sgn}\left(b\right) + i \, \pi x\right)}}{2 i \, \pi - i \, \pi \mathrm{sgn}\left(a\right) - i \, \pi \mathrm{sgn}\left(b\right) + 2 \, \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| b \right|}\right)}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}\right)}"," ",0,"2*(2*(log(abs(a)) + log(abs(b)))*cos(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) + pi*x)/((2*pi - pi*sgn(a) - pi*sgn(b))^2 + 4*(log(abs(a)) + log(abs(b)))^2) + (2*pi - pi*sgn(a) - pi*sgn(b))*sin(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) + pi*x)/((2*pi - pi*sgn(a) - pi*sgn(b))^2 + 4*(log(abs(a)) + log(abs(b)))^2))*e^(x*(log(abs(a)) + log(abs(b)))) - 1/2*I*(-2*I*e^(1/2*I*pi*x*sgn(a) + 1/2*I*pi*x*sgn(b) - I*pi*x)/(-2*I*pi + I*pi*sgn(a) + I*pi*sgn(b) + 2*log(abs(a)) + 2*log(abs(b))) + 2*I*e^(-1/2*I*pi*x*sgn(a) - 1/2*I*pi*x*sgn(b) + I*pi*x)/(2*I*pi - I*pi*sgn(a) - I*pi*sgn(b) + 2*log(abs(a)) + 2*log(abs(b))))*e^(x*(log(abs(a)) + log(abs(b))))","C",0
162,0,0,0,0.000000," ","integrate(a^x/x^2,x, algorithm=""giac"")","\int \frac{a^{x}}{x^{2}}\,{d x}"," ",0,"integrate(a^x/x^2, x)","F",0
163,0,0,0,0.000000," ","integrate(a^x*x/(b*x+1)^2,x, algorithm=""giac"")","\int \frac{a^{x} x}{{\left(b x + 1\right)}^{2}}\,{d x}"," ",0,"integrate(a^x*x/(b*x + 1)^2, x)","F",0
164,1,45,0,1.185238," ","integrate(exp(a*x)*x/(a*x+1)^2,x, algorithm=""giac"")","-\frac{e^{\left(-{\left(a x + 1\right)} {\left(\frac{1}{a x + 1} - 1\right)}\right)}}{{\left(a x + 1\right)} a^{2} {\left(\frac{1}{a x + 1} - 1\right)} - a^{2}}"," ",0,"-e^(-(a*x + 1)*(1/(a*x + 1) - 1))/((a*x + 1)*a^2*(1/(a*x + 1) - 1) - a^2)","B",0
165,1,11,0,1.050237," ","integrate(k^(x^2)*x,x, algorithm=""giac"")","\frac{k^{\left(x^{2}\right)}}{2 \, \log\left(k\right)}"," ",0,"1/2*k^(x^2)/log(k)","A",0
166,1,9,0,1.230255," ","integrate(exp(x^2),x, algorithm=""giac"")","\frac{1}{2} i \, \sqrt{\pi} \operatorname{erf}\left(-i \, x\right)"," ",0,"1/2*I*sqrt(pi)*erf(-I*x)","C",0
167,1,6,0,1.139045," ","integrate(exp(x^2)*x,x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(x^{2}\right)}"," ",0,"1/2*e^(x^2)","A",0
168,1,24,0,1.005837," ","integrate(exp(1/x)*(1+x)/x^4,x, algorithm=""giac"")","\frac{e^{\frac{1}{x}}}{x} - \frac{e^{\frac{1}{x}}}{x^{2}} - e^{\frac{1}{x}}"," ",0,"e^(1/x)/x - e^(1/x)/x^2 - e^(1/x)","A",0
169,1,36,0,1.015254," ","integrate(exp(1-exp(x^2)*x+2*x^2)*(2*x^3+x)/(1-exp(x^2)*x)^2,x, algorithm=""giac"")","-\frac{e^{\left(2 \, x^{2} - x e^{\left(x^{2}\right)} + 1\right)}}{x e^{\left(3 \, x^{2}\right)} - e^{\left(2 \, x^{2}\right)}}"," ",0,"-e^(2*x^2 - x*e^(x^2) + 1)/(x*e^(3*x^2) - e^(2*x^2))","A",0
170,0,0,0,0.000000," ","integrate(exp(exp(exp(exp(x)))),x, algorithm=""giac"")","\int e^{\left(e^{\left(e^{\left(e^{x}\right)}\right)}\right)}\,{d x}"," ",0,"integrate(e^(e^(e^(e^x))), x)","F",0
171,1,10,0,1.191073," ","integrate(exp(x)*log(x),x, algorithm=""giac"")","e^{x} \log\left(x\right) - {\rm Ei}\left(x\right)"," ",0,"e^x*log(x) - Ei(x)","A",0
172,1,15,0,1.148713," ","integrate(exp(x)*x*log(x),x, algorithm=""giac"")","{\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
173,1,11,0,1.223926," ","integrate(exp(2*x)*log(exp(x)),x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)}"," ",0,"1/4*(2*x - 1)*e^(2*x)","A",0
174,1,12,0,1.068198," ","integrate(2*x+x^2*2^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{2} x^{3} + x^{2}"," ",0,"1/3*sqrt(2)*x^3 + x^2","A",0
175,1,48,0,1.170645," ","integrate(log(x)/(a*x+b)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{2 \, b \arctan\left(\frac{\sqrt{a x + b}}{\sqrt{-b}}\right)}{\sqrt{-b}} - \sqrt{a x + b} \log\left(x\right) + 2 \, \sqrt{a x + b}\right)}}{a}"," ",0,"-2*(2*b*arctan(sqrt(a*x + b)/sqrt(-b))/sqrt(-b) - sqrt(a*x + b)*log(x) + 2*sqrt(a*x + b))/a","A",0
176,1,232,0,1.221541," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(\frac{{\left(b^{2} c - a b d\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d}} - \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \sqrt{b x + a}\right)} a {\left| b \right|}}{b^{2}} - \frac{{\left(\sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} {\left(2 \, b x + 2 \, a + \frac{b c d - 5 \, a d^{2}}{d^{2}}\right)} \sqrt{b x + a} + \frac{{\left(b^{3} c^{2} + 2 \, a b^{2} c d - 3 \, a^{2} b d^{2}\right)} \log\left({\left| -\sqrt{b d} \sqrt{b x + a} + \sqrt{b^{2} c + {\left(b x + a\right)} b d - a b d} \right|}\right)}{\sqrt{b d} d}\right)} {\left| b \right|}}{b^{2}}}{4 \, b}"," ",0,"-1/4*(4*((b^2*c - a*b*d)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/sqrt(b*d) - sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*sqrt(b*x + a))*a*abs(b)/b^2 - (sqrt(b^2*c + (b*x + a)*b*d - a*b*d)*(2*b*x + 2*a + (b*c*d - 5*a*d^2)/d^2)*sqrt(b*x + a) + (b^3*c^2 + 2*a*b^2*c*d - 3*a^2*b*d^2)*log(abs(-sqrt(b*d)*sqrt(b*x + a) + sqrt(b^2*c + (b*x + a)*b*d - a*b*d)))/(sqrt(b*d)*d))*abs(b)/b^2)/b","B",0
177,1,12,0,0.966977," ","integrate((b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"2/3*(b*x + a)^(3/2)/b","A",0
178,1,66,0,1.182997," ","integrate(x*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{5 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a}{b} + \frac{3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}}{b}\right)}}{15 \, b}"," ",0,"2/15*(5*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a/b + (3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)/b)/b","B",0
179,1,93,0,1.030676," ","integrate(x^2*(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{7 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a}{b^{2}} + \frac{3 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)}}{b^{2}}\right)}}{105 \, b}"," ",0,"2/105*(7*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a/b^2 + 3*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)/b^2)/b","B",0
180,1,32,0,1.097545," ","integrate((b*x+a)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 2 \, \sqrt{b x + a}"," ",0,"2*a*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2*sqrt(b*x + a)","A",0
181,1,41,0,1.285951," ","integrate((b*x+a)^(1/2)/x^2,x, algorithm=""giac"")","\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{\sqrt{b x + a} b}{x}}{b}"," ",0,"(b^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - sqrt(b*x + a)*b/x)/b","A",0
182,1,12,0,1.179133," ","integrate(1/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a}}{b}"," ",0,"2*sqrt(b*x + a)/b","A",0
183,1,23,0,1.211210," ","integrate(x/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)}}{3 \, b^{2}}"," ",0,"2/3*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)/b^2","A",0
184,1,37,0,1.267144," ","integrate(x^2/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)}}{15 \, b^{3}}"," ",0,"2/15*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)/b^3","A",0
185,1,21,0,1.013782," ","integrate(1/x/(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}}"," ",0,"2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a)","A",0
186,1,47,0,1.082052," ","integrate(1/x^2/(b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{\sqrt{b x + a} b}{a x}}{b}"," ",0,"-(b^2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + sqrt(b*x + a)*b/(a*x))/b","A",0
187,1,21,0,1.040625," ","integrate(((b*x+a)^(1/2))^p,x, algorithm=""giac"")","\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
188,1,86,0,1.279923," ","integrate(x*((b*x+a)^(1/2))^p,x, algorithm=""giac"")","\frac{2 \, {\left({\left(b x + a\right)}^{\frac{1}{2} \, p} b^{2} p x^{2} + {\left(b x + a\right)}^{\frac{1}{2} \, p} a b p x + 2 \, {\left(b x + a\right)}^{\frac{1}{2} \, p} b^{2} x^{2} - 2 \, {\left(b x + a\right)}^{\frac{1}{2} \, p} a^{2}\right)}}{b^{2} p^{2} + 6 \, b^{2} p + 8 \, b^{2}}"," ",0,"2*((b*x + a)^(1/2*p)*b^2*p*x^2 + (b*x + a)^(1/2*p)*a*b*p*x + 2*(b*x + a)^(1/2*p)*b^2*x^2 - 2*(b*x + a)^(1/2*p)*a^2)/(b^2*p^2 + 6*b^2*p + 8*b^2)","A",0
189,1,52,0,1.136884," ","integrate(arctan(1/2*(2*x-2^(1/2))*2^(1/2)),x, algorithm=""giac"")","\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
190,1,15,0,1.054100," ","integrate(1/(x^2-1)^(1/2),x, algorithm=""giac"")","-\log\left({\left| -x + \sqrt{x^{2} - 1} \right|}\right)"," ",0,"-log(abs(-x + sqrt(x^2 - 1)))","A",0
191,1,39,0,1.028972," ","integrate(x^(1/2)*(1+x)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, x - 3\right)} \sqrt{x + 1} \sqrt{x} + \sqrt{x + 1} \sqrt{x} + \frac{1}{4} \, \log\left(\sqrt{x + 1} - \sqrt{x}\right)"," ",0,"1/4*(2*x - 3)*sqrt(x + 1)*sqrt(x) + sqrt(x + 1)*sqrt(x) + 1/4*log(sqrt(x + 1) - sqrt(x))","A",0
192,1,16,0,0.927669," ","integrate(sin(x^(1/2)),x, algorithm=""giac"")","-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
193,1,11,0,1.004676," ","integrate(x/(-x^2+1)^(9/8),x, algorithm=""giac"")","\frac{4}{{\left(-x^{2} + 1\right)}^{\frac{1}{8}}}"," ",0,"4/(-x^2 + 1)^(1/8)","A",0
194,1,6,0,1.226872," ","integrate(x/(-x^4+1)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \arcsin\left(x^{2}\right)"," ",0,"1/2*arcsin(x^2)","A",0
195,1,25,0,1.191399," ","integrate(1/x/(x^4+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} - 1\right)"," ",0,"-1/4*log(sqrt(x^4 + 1) + 1) + 1/4*log(sqrt(x^4 + 1) - 1)","B",0
196,1,22,0,0.941155," ","integrate(x/(x^4+x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(-2 \, x^{2} + 2 \, \sqrt{x^{4} + x^{2} + 1} - 1\right)"," ",0,"-1/2*log(-2*x^2 + 2*sqrt(x^4 + x^2 + 1) - 1)","A",0
197,0,0,0,0.000000," ","integrate(1/x/(-x^4+x^2-1)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-x^{4} + x^{2} - 1} x}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + x^2 - 1)*x), x)","F",0
198,1,35,0,1.196876," ","integrate((1+x)/(1-x)^2/(x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{\frac{2}{x - 1} + \frac{2}{{\left(x - 1\right)}^{2}} + 1}}{\mathrm{sgn}\left(\frac{1}{x - 1}\right)} + \mathrm{sgn}\left(\frac{1}{x - 1}\right)"," ",0,"-sqrt(2/(x - 1) + 2/(x - 1)^2 + 1)/sgn(1/(x - 1)) + sgn(1/(x - 1))","B",0
199,1,14,0,1.076628," ","integrate(1/(x^2+1)^(1/2),x, algorithm=""giac"")","-\log\left(-x + \sqrt{x^{2} + 1}\right)"," ",0,"-log(-x + sqrt(x^2 + 1))","B",0
200,0,0,0,0.000000," ","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=""giac"")","\int \frac{\sqrt{x + 2} \sqrt{x + 1} + \sqrt{x + 2} \sqrt{x} + \sqrt{x + 1} \sqrt{x}}{2 \, \sqrt{x + 2} \sqrt{x + 1} \sqrt{x}}\,{d x}"," ",0,"integrate(1/2*(sqrt(x + 2)*sqrt(x + 1) + sqrt(x + 2)*sqrt(x) + sqrt(x + 1)*sqrt(x))/(sqrt(x + 2)*sqrt(x + 1)*sqrt(x)), x)","F",0
201,0,0,0,0.000000," ","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=""giac"")","\int \frac{5 \, \sqrt{x^{3} + 1} x^{4} - 3 \, \sqrt{x^{5} - 2 \, x + 1} x^{2} - 2 \, \sqrt{x^{3} + 1}}{2 \, \sqrt{x^{5} - 2 \, x + 1} \sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(1/2*(5*sqrt(x^3 + 1)*x^4 - 3*sqrt(x^5 - 2*x + 1)*x^2 - 2*sqrt(x^3 + 1))/(sqrt(x^5 - 2*x + 1)*sqrt(x^3 + 1)), x)","F",0
202,1,31,0,1.082675," ","integrate(10/(x^2-4)^(1/2)+1/(x^2-1)^(1/2),x, algorithm=""giac"")","-\log\left({\left| -x + \sqrt{x^{2} - 1} \right|}\right) - 10 \, \log\left({\left| -x + \sqrt{x^{2} - 4} \right|}\right)"," ",0,"-log(abs(-x + sqrt(x^2 - 1))) - 10*log(abs(-x + 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=""giac"")","\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
204,1,10,0,1.293579," ","integrate(3/2*x^2/(1+x^3+(x^3+1)^(1/2)),x, algorithm=""giac"")","\log\left(\sqrt{x^{3} + 1} + 1\right)"," ",0,"log(sqrt(x^3 + 1) + 1)","A",0
205,1,34,0,1.145758," ","integrate(1/(2*h*r^2-alpha^2)^(1/2),r, algorithm=""giac"")","-\frac{\sqrt{2} \log\left({\left| -\sqrt{2} \sqrt{h} r + \sqrt{2 \, h r^{2} - \alpha^{2}} \right|}\right)}{2 \, \sqrt{h}}"," ",0,"-1/2*sqrt(2)*log(abs(-sqrt(2)*sqrt(h)*r + sqrt(2*h*r^2 - alpha^2)))/sqrt(h)","A",0
206,1,38,0,1.019719," ","integrate(1/r/(2*h*r^2-alpha^2-epsilon^2)^(1/2),r, algorithm=""giac"")","\frac{1.00000000000000 \times 10^{12} \, \arctan\left(\frac{1.00000000000000 \times 10^{12} \, \sqrt{2.00000000000000 \, h r^{2} - 1.00000000000000 \, \alpha^{2} - 1.00000000000000 \times 10^{-24}}}{\sqrt{1.00000000000000 \times 10^{24} \, \alpha^{2} + 1.00000000000000}}\right)}{\sqrt{1.00000000000000 \times 10^{24} \, \alpha^{2} + 1.00000000000000}}"," ",0,"1.00000000000000e12*arctan(1.00000000000000e12*sqrt(2.00000000000000*h*r^2 - 1.00000000000000*alpha^2 - 1.00000000000000e-24)/sqrt(1.00000000000000e24*alpha^2 + 1.00000000000000))/sqrt(1.00000000000000e24*alpha^2 + 1.00000000000000)","A",0
207,1,40,0,1.306509," ","integrate(1/r/(2*h*r^2-alpha^2-2*k*r)^(1/2),r, algorithm=""giac"")","\frac{2 \, \arctan\left(-\frac{\sqrt{2} \sqrt{h} r - \sqrt{2 \, h r^{2} - \alpha^{2} - 2 \, k r}}{\alpha}\right)}{\alpha}"," ",0,"2*arctan(-(sqrt(2)*sqrt(h)*r - sqrt(2*h*r^2 - alpha^2 - 2*k*r))/alpha)/alpha","A",0
208,1,51,0,1.738877," ","integrate(1/r/(2*h*r^2-alpha^2-epsilon^2-2*k*r)^(1/2),r, algorithm=""giac"")","\frac{2.00000000000000 \times 10^{12} \, \arctan\left(\frac{\left(6.55360000000000 \times 10^{-8}\right) \, {\left(-2.15791864375777 \times 10^{19} \, \sqrt{h} r + 1.52587890625000 \times 10^{19} \, \sqrt{2.00000000000000 \, h r^{2} - \alpha^{2} - 2.00000000000000 \, k r - 1.00000000000000 \times 10^{-24}}\right)}}{\sqrt{1.00000000000000 \times 10^{24} \, \alpha^{2} + 1.00000000000000}}\right)}{\sqrt{1.00000000000000 \times 10^{24} \, \alpha^{2} + 1.00000000000000}}"," ",0,"2.00000000000000e12*arctan((6.55360000000000e-8)*(-2.15791864375777e19*sqrt(h)*r + 1.52587890625000e19*sqrt(2.00000000000000*h*r^2 - alpha^2 - 2.00000000000000*k*r - 1.00000000000000e-24))/sqrt(1.00000000000000e24*alpha^2 + 1.00000000000000))/sqrt(1.00000000000000e24*alpha^2 + 1.00000000000000)","A",0
209,1,19,0,1.041080," ","integrate(r/(2*e*r^2-alpha^2)^(1/2),r, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2 \, r^{2} e - \alpha^{2}} e^{\left(-1\right)}"," ",0,"1/2*sqrt(2*r^2*e - alpha^2)*e^(-1)","A",0
210,1,16,0,1.216203," ","integrate(r/(2*e*r^2-alpha^2-epsilon^2)^(1/2),r, algorithm=""giac"")","0.183939720586000 \, \sqrt{-1.00000000000000 \, \alpha^{2} + 5.43656365692000 \, r^{2} - 1.00000000000000 \times 10^{-24}}"," ",0,"0.183939720586000*sqrt(-1.00000000000000*alpha^2 + 5.43656365692000*r^2 - 1.00000000000000e-24)","A",0
211,1,60,0,1.216480," ","integrate(r/(-2*k*r^4+2*e*r^2-alpha^2)^(1/2),r, algorithm=""giac"")","-\frac{\sqrt{2} \log\left({\left| \sqrt{2} {\left(\sqrt{2} \sqrt{-k} r^{2} - \sqrt{-2 \, k r^{4} + 2 \, r^{2} e - \alpha^{2}}\right)} \sqrt{-k} + e \right|}\right)}{4 \, \sqrt{-k}}"," ",0,"-1/4*sqrt(2)*log(abs(sqrt(2)*(sqrt(2)*sqrt(-k)*r^2 - sqrt(-2*k*r^4 + 2*r^2*e - alpha^2))*sqrt(-k) + e))/sqrt(-k)","A",0
212,1,72,0,1.342760," ","integrate(r/(2*e*r^2-alpha^2-2*k*r)^(1/2),r, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} k e^{\left(-\frac{3}{2}\right)} \log\left({\left| -\sqrt{2} {\left(\sqrt{2} r e^{\frac{1}{2}} - \sqrt{2 \, r^{2} e - \alpha^{2} - 2 \, k r}\right)} e^{\frac{1}{2}} + k \right|}\right) + \frac{1}{2} \, \sqrt{2 \, r^{2} e - \alpha^{2} - 2 \, k r} e^{\left(-1\right)}"," ",0,"-1/4*sqrt(2)*k*e^(-3/2)*log(abs(-sqrt(2)*(sqrt(2)*r*e^(1/2) - sqrt(2*r^2*e - alpha^2 - 2*k*r))*e^(1/2) + k)) + 1/2*sqrt(2*r^2*e - alpha^2 - 2*k*r)*e^(-1)","A",0
213,1,45,0,1.149925," ","integrate(1/r/(-2*k*r^4+2*h*r^2-alpha^2)^(1/2),r, algorithm=""giac"")","\frac{\arctan\left(-\frac{\sqrt{2} \sqrt{-k} r^{2} - \sqrt{-2 \, k r^{4} + 2 \, h r^{2} - \alpha^{2}}}{\alpha}\right)}{\alpha}"," ",0,"arctan(-(sqrt(2)*sqrt(-k)*r^2 - sqrt(-2*k*r^4 + 2*h*r^2 - alpha^2))/alpha)/alpha","A",0
214,1,45,0,1.250389," ","integrate(1/r/(-2*k*r^4+2*h*r^2-alpha^2-epsilon^2)^(1/2),r, algorithm=""giac"")","\frac{\arctan\left(-\frac{\sqrt{2} \sqrt{-k} r^{2} - \sqrt{-2 \, k r^{4} + 2 \, h r^{2} - \alpha^{2}}}{\alpha}\right)}{\alpha}"," ",0,"arctan(-(sqrt(2)*sqrt(-k)*r^2 - sqrt(-2*k*r^4 + 2*h*r^2 - alpha^2))/alpha)/alpha","A",0
215,1,11,0,1.035606," ","integrate(a*cos(5+3*x)*sin(5+3*x)^2,x, algorithm=""giac"")","\frac{1}{9} \, a \sin\left(3 \, x + 5\right)^{3}"," ",0,"1/9*a*sin(3*x + 5)^3","A",0
216,1,15,0,1.193393," ","integrate(log(x^2)/x^3,x, algorithm=""giac"")","-\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
217,1,12,0,1.328809," ","integrate(x*sin(a+x),x, algorithm=""giac"")","-x \cos\left(a + x\right) + \sin\left(a + x\right)"," ",0,"-x*cos(a + x) + sin(a + x)","A",0
218,1,10,0,0.990757," ","integrate((-1+(1-x)*log(x))/exp(x)/log(x)^2,x, algorithm=""giac"")","\frac{x e^{\left(-x\right)}}{\log\left(x\right)}"," ",0,"x*e^(-x)/log(x)","A",0
219,1,24,0,1.138183," ","integrate(x^3/(a*x^2+b),x, algorithm=""giac"")","\frac{x^{2}}{2 \, a} - \frac{b \log\left({\left| a x^{2} + b \right|}\right)}{2 \, a^{2}}"," ",0,"1/2*x^2/a - 1/2*b*log(abs(a*x^2 + b))/a^2","A",0
220,1,66,0,1.401271," ","integrate(x^(1/2)/(1+x)^(7/2),x, algorithm=""giac"")","\frac{8 \, {\left(15 \, {\left(\sqrt{x + 1} - \sqrt{x}\right)}^{6} - 5 \, {\left(\sqrt{x + 1} - \sqrt{x}\right)}^{4} + 5 \, {\left(\sqrt{x + 1} - \sqrt{x}\right)}^{2} + 1\right)}}{15 \, {\left({\left(\sqrt{x + 1} - \sqrt{x}\right)}^{2} + 1\right)}^{5}}"," ",0,"8/15*(15*(sqrt(x + 1) - sqrt(x))^6 - 5*(sqrt(x + 1) - sqrt(x))^4 + 5*(sqrt(x + 1) - sqrt(x))^2 + 1)/((sqrt(x + 1) - sqrt(x))^2 + 1)^5","B",0
221,1,11,0,1.163385," ","integrate(1/x/(1+x),x, algorithm=""giac"")","-\log\left({\left| x + 1 \right|}\right) + \log\left({\left| x \right|}\right)"," ",0,"-log(abs(x + 1)) + log(abs(x))","A",0
222,1,32,0,1.267151," ","integrate(1/x^(1/2)/(-1+2*x),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \log\left(\frac{1}{2} \, \sqrt{2} + \sqrt{x}\right) + \frac{1}{2} \, \sqrt{2} \log\left({\left| -\frac{1}{2} \, \sqrt{2} + \sqrt{x} \right|}\right)"," ",0,"-1/2*sqrt(2)*log(1/2*sqrt(2) + sqrt(x)) + 1/2*sqrt(2)*log(abs(-1/2*sqrt(2) + sqrt(x)))","B",0
223,1,11,0,1.114910," ","integrate(x^(1/2)*(x^2+1),x, algorithm=""giac"")","\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
224,1,103,0,2.429519," ","integrate((-a+x)^(1/3)/x,x, algorithm=""giac"")","-\sqrt{3} \left(-a\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(\left(-a\right)^{\frac{1}{3}} + 2 \, {\left(-a + x\right)}^{\frac{1}{3}}\right)}}{3 \, \left(-a\right)^{\frac{1}{3}}}\right) - \frac{1}{2} \, \left(-a\right)^{\frac{1}{3}} \log\left(\left(-a\right)^{\frac{2}{3}} + \left(-a\right)^{\frac{1}{3}} {\left(-a + x\right)}^{\frac{1}{3}} + {\left(-a + x\right)}^{\frac{2}{3}}\right) + \left(-a\right)^{\frac{1}{3}} \log\left({\left| -\left(-a\right)^{\frac{1}{3}} + {\left(-a + x\right)}^{\frac{1}{3}} \right|}\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(abs(-(-a)^(1/3) + (-a + x)^(1/3))) + 3*(-a + x)^(1/3)","A",0
225,1,17,0,1.185760," ","integrate(x*sinh(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left(x + 1\right)} e^{\left(-x\right)} + \frac{1}{2} \, {\left(x - 1\right)} e^{x}"," ",0,"1/2*(x + 1)*e^(-x) + 1/2*(x - 1)*e^x","A",0
226,1,17,0,1.197533," ","integrate(x*cosh(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(x + 1\right)} e^{\left(-x\right)} + \frac{1}{2} \, {\left(x - 1\right)} e^{x}"," ",0,"-1/2*(x + 1)*e^(-x) + 1/2*(x - 1)*e^x","A",0
227,1,13,0,1.180017," ","integrate(sinh(2*x)/cosh(2*x),x, algorithm=""giac"")","-x + \frac{1}{2} \, \log\left(e^{\left(4 \, x\right)} + 1\right)"," ",0,"-x + 1/2*log(e^(4*x) + 1)","A",0
228,1,23,0,1.370858," ","integrate((-1+I*eps*sinh(x))/(I*a-x+I*eps*cosh(x)),x, algorithm=""giac"")","-x + \log\left(\mathit{eps} e^{\left(2 \, x\right)} + 2 \, a e^{x} + 2 i \, x e^{x} + \mathit{eps}\right)"," ",0,"-x + log(eps*e^(2*x) + 2*a*e^x + 2*I*x*e^x + eps)","B",0
229,1,22,0,1.437188," ","integrate(cos(x)^2*sin(3+2*x),x, algorithm=""giac"")","\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
230,1,15,0,1.468512," ","integrate(x*arctan(x),x, algorithm=""giac"")","\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
231,1,19,0,1.423975," ","integrate(x*arccot(x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arctan\left(\frac{1}{x}\right) + \frac{1}{2} \, x + \frac{1}{2} \, \arctan\left(\frac{1}{x}\right)"," ",0,"1/2*x^2*arctan(1/x) + 1/2*x + 1/2*arctan(1/x)","A",0
232,1,22,0,1.355919," ","integrate(x*log(x^2+a),x, algorithm=""giac"")","-\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
233,1,14,0,1.037333," ","integrate(cos(x)*sin(a+x),x, algorithm=""giac"")","\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
234,1,14,0,1.030140," ","integrate(cos(a+x)*sin(x),x, algorithm=""giac"")","-\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
235,1,22,0,1.159859," ","integrate((1+sin(x))^(1/2),x, algorithm=""giac"")","2 \, \sqrt{2} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)\right) \sin\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)"," ",0,"2*sqrt(2)*sgn(cos(-1/4*pi + 1/2*x))*sin(-1/4*pi + 1/2*x)","B",0
236,1,35,0,1.196133," ","integrate((1-sin(x))^(1/2),x, algorithm=""giac"")","-2 \, \sqrt{2} {\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, x\right) \mathrm{sgn}\left(\sin\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)\right) - \mathrm{sgn}\left(\sin\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)\right)\right)}"," ",0,"-2*sqrt(2)*(cos(-1/4*pi + 1/2*x)*sgn(sin(-1/4*pi + 1/2*x)) - sgn(sin(-1/4*pi + 1/2*x)))","B",0
237,1,14,0,1.039336," ","integrate((1+cos(x))^(1/2),x, algorithm=""giac"")","2 \, \sqrt{2} \mathrm{sgn}\left(\cos\left(\frac{1}{2} \, x\right)\right) \sin\left(\frac{1}{2} \, x\right)"," ",0,"2*sqrt(2)*sgn(cos(1/2*x))*sin(1/2*x)","A",0
238,1,23,0,1.072544," ","integrate((1-cos(x))^(1/2),x, algorithm=""giac"")","-2 \, \sqrt{2} {\left(\cos\left(\frac{1}{2} \, x\right) \mathrm{sgn}\left(\sin\left(\frac{1}{2} \, x\right)\right) - \mathrm{sgn}\left(\sin\left(\frac{1}{2} \, x\right)\right)\right)}"," ",0,"-2*sqrt(2)*(cos(1/2*x)*sgn(sin(1/2*x)) - sgn(sin(1/2*x)))","A",0
239,1,13,0,1.034724," ","integrate(1/(-(-1+x)^(1/2)+x^(1/2)),x, algorithm=""giac"")","\frac{2}{3} \, {\left(x - 1\right)}^{\frac{3}{2}} + \frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"2/3*(x - 1)^(3/2) + 2/3*x^(3/2)","A",0
240,1,19,0,1.214731," ","integrate(1/(1-(1+x)^(1/2)),x, algorithm=""giac"")","-2 \, \sqrt{x + 1} - 2 \, \log\left({\left| \sqrt{x + 1} - 1 \right|}\right)"," ",0,"-2*sqrt(x + 1) - 2*log(abs(sqrt(x + 1) - 1))","A",0
241,1,16,0,1.087171," ","integrate(x/(x^4+36)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(-x^{2} + \sqrt{x^{4} + 36}\right)"," ",0,"-1/2*log(-x^2 + sqrt(x^4 + 36))","A",0
242,1,24,0,1.171276," ","integrate(1/(x^(1/3)+x^(1/2)),x, algorithm=""giac"")","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
243,1,26,0,1.034511," ","integrate(log(3*x^2+2),x, algorithm=""giac"")","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
244,1,4,0,1.163839," ","integrate(cot(x),x, algorithm=""giac"")","\log\left({\left| \sin\left(x\right) \right|}\right)"," ",0,"log(abs(sin(x)))","A",0
245,1,34,0,1.150728," ","integrate(cot(x)^4,x, algorithm=""giac"")","\frac{1}{24} \, \tan\left(\frac{1}{2} \, x\right)^{3} + x + \frac{15 \, \tan\left(\frac{1}{2} \, x\right)^{2} - 1}{24 \, \tan\left(\frac{1}{2} \, x\right)^{3}} - \frac{5}{8} \, \tan\left(\frac{1}{2} \, x\right)"," ",0,"1/24*tan(1/2*x)^3 + x + 1/24*(15*tan(1/2*x)^2 - 1)/tan(1/2*x)^3 - 5/8*tan(1/2*x)","B",0
246,1,11,0,1.085659," ","integrate(tanh(x),x, algorithm=""giac"")","-x + \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"-x + log(e^(2*x) + 1)","B",0
247,1,12,0,0.935135," ","integrate(coth(x),x, algorithm=""giac"")","-x + \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-x + log(abs(e^(2*x) - 1))","B",0
248,1,8,0,1.027816," ","integrate(b^x,x, algorithm=""giac"")","\frac{b^{x}}{\log\left(b\right)}"," ",0,"b^x/log(b)","A",0
249,1,11,0,1.119805," ","integrate((2+1/x^4+x^4)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} - \frac{1}{x}"," ",0,"1/3*x^3 - 1/x","A",0
250,1,13,0,1.000122," ","integrate((1+2*x)/(2+3*x),x, algorithm=""giac"")","\frac{2}{3} \, x - \frac{1}{9} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"2/3*x - 1/9*log(abs(3*x + 2))","A",0
251,1,40,0,0.938282," ","integrate(x*log(x+(x^2+1)^(1/2)),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(x + \sqrt{x^{2} + 1}\right) - \frac{1}{4} \, \sqrt{x^{2} + 1} x - \frac{1}{4} \, \log\left(-x + \sqrt{x^{2} + 1}\right)"," ",0,"1/2*x^2*log(x + sqrt(x^2 + 1)) - 1/4*sqrt(x^2 + 1)*x - 1/4*log(-x + sqrt(x^2 + 1))","A",0
252,1,57,0,1.100032," ","integrate(x*(1+exp(x)*sin(x))^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - \frac{1}{16} \, {\left(2 \, x \cos\left(2 \, x\right) + {\left(2 \, x - 1\right)} \sin\left(2 \, x\right)\right)} e^{\left(2 \, x\right)} + \frac{1}{8} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)} - {\left({\left(x - 1\right)} \cos\left(x\right) - x \sin\left(x\right)\right)} e^{x}"," ",0,"1/2*x^2 - 1/16*(2*x*cos(2*x) + (2*x - 1)*sin(2*x))*e^(2*x) + 1/8*(2*x - 1)*e^(2*x) - ((x - 1)*cos(x) - x*sin(x))*e^x","A",0
253,1,15,0,0.937823," ","integrate(exp(x)*x*cos(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left(x \cos\left(x\right) + {\left(x - 1\right)} \sin\left(x\right)\right)} e^{x}"," ",0,"1/2*(x*cos(x) + (x - 1)*sin(x))*e^x","A",0
254,1,7,0,1.079316," ","integrate(1/(-3+x)^4,x, algorithm=""giac"")","-\frac{1}{3 \, {\left(x - 3\right)}^{3}}"," ",0,"-1/3/(x - 3)^3","A",0
255,1,33,0,1.071870," ","integrate(x/(x^3-1),x, algorithm=""giac"")","\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({\left| x - 1 \right|}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*log(x^2 + x + 1) + 1/3*log(abs(x - 1))","A",0
256,1,18,0,1.013457," ","integrate(x/(x^4-1),x, algorithm=""giac"")","-\frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{4} \, \log\left({\left| x^{2} - 1 \right|}\right)"," ",0,"-1/4*log(x^2 + 1) + 1/4*log(abs(x^2 - 1))","B",0
257,0,0,0,0.000000," ","integrate((x^3+1)*log(x)/(x^4+2),x, algorithm=""giac"")","\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
258,1,25,0,1.037517," ","integrate(log(x)+log(1+x)+log(2+x),x, algorithm=""giac"")","{\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
259,1,58,0,0.949418," ","integrate(1/(x^3+5),x, algorithm=""giac"")","\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({\left| x + 5^{\frac{1}{3}} \right|}\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(abs(x + 5^(1/3)))","A",0
260,1,14,0,0.928345," ","integrate(1/(x^2+1)^(1/2),x, algorithm=""giac"")","-\log\left(-x + \sqrt{x^{2} + 1}\right)"," ",0,"-log(-x + sqrt(x^2 + 1))","B",0
261,1,25,0,0.994123," ","integrate((x^2+3)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x^{2} + 3} x - \frac{3}{2} \, \log\left(-x + \sqrt{x^{2} + 3}\right)"," ",0,"1/2*sqrt(x^2 + 3)*x - 3/2*log(-x + sqrt(x^2 + 3))","A",0
262,1,11,0,0.947505," ","integrate(x/(1+x)^2,x, algorithm=""giac"")","\frac{1}{x + 1} + \log\left({\left| x + 1 \right|}\right)"," ",0,"1/(x + 1) + log(abs(x + 1))","A",0
263,1,14,0,1.072907," ","integrate(arcsin(x),x, algorithm=""giac"")","x \arcsin\left(x\right) + \sqrt{-x^{2} + 1}"," ",0,"x*arcsin(x) + sqrt(-x^2 + 1)","A",0
264,1,38,0,0.856012," ","integrate(x^2*arcsin(x),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x^{2} - 1\right)} x \arcsin\left(x\right) + \frac{1}{3} \, x \arcsin\left(x\right) - \frac{1}{9} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{1}{3} \, \sqrt{-x^{2} + 1}"," ",0,"1/3*(x^2 - 1)*x*arcsin(x) + 1/3*x*arcsin(x) - 1/9*(-x^2 + 1)^(3/2) + 1/3*sqrt(-x^2 + 1)","A",0
265,1,15,0,0.957823," ","integrate(sec(x)^2/(1+sec(x)^2-3*tan(x)),x, algorithm=""giac"")","-\log\left({\left| \tan\left(x\right) - 1 \right|}\right) + \log\left({\left| \tan\left(x\right) - 2 \right|}\right)"," ",0,"-log(abs(tan(x) - 1)) + log(abs(tan(x) - 2))","A",0
266,1,16,0,1.156475," ","integrate(1/sec(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{\tan\left(x\right)}{2 \, {\left(\tan\left(x\right)^{2} + 1\right)}}"," ",0,"1/2*x + 1/2*tan(x)/(tan(x)^2 + 1)","A",0
267,1,18,0,1.106037," ","integrate((5*x^2-3*x-2)/(-2+x)/x^2,x, algorithm=""giac"")","-\frac{1}{x} + 3 \, \log\left({\left| x - 2 \right|}\right) + 2 \, \log\left({\left| x \right|}\right)"," ",0,"-1/x + 3*log(abs(x - 2)) + 2*log(abs(x))","A",0
268,1,16,0,1.074121," ","integrate(1/(4*x^2+9)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 9}\right)"," ",0,"-1/2*log(-2*x + sqrt(4*x^2 + 9))","B",0
269,1,14,0,1.067240," ","integrate(1/(x^2+4)^(1/2),x, algorithm=""giac"")","-\log\left(-x + \sqrt{x^{2} + 4}\right)"," ",0,"-log(-x + sqrt(x^2 + 4))","B",0
270,1,16,0,1.052695," ","integrate(1/(9*x^2-12*x+10),x, algorithm=""giac"")","\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
271,1,46,0,1.120360," ","integrate(1/(x^8-2*x^7+2*x^6-2*x^5+x^4),x, algorithm=""giac"")","-\frac{15 \, x^{3} - 6 \, x^{2} - 4 \, x - 2}{6 \, {\left(x - 1\right)} x^{3}} + \frac{1}{4} \, \log\left(x^{2} + 1\right) - \frac{5}{2} \, \log\left({\left| x - 1 \right|}\right) + 2 \, \log\left({\left| x \right|}\right)"," ",0,"-1/6*(15*x^3 - 6*x^2 - 4*x - 2)/((x - 1)*x^3) + 1/4*log(x^2 + 1) - 5/2*log(abs(x - 1)) + 2*log(abs(x))","A",0
272,1,44,0,1.152388," ","integrate((a*x^3+b*x^2+c*x+d)/(-3+x)/x/(1+x),x, algorithm=""giac"")","a x - \frac{1}{4} \, {\left(a - b + c - d\right)} \log\left({\left| x + 1 \right|}\right) + \frac{1}{12} \, {\left(27 \, a + 9 \, b + 3 \, c + d\right)} \log\left({\left| x - 3 \right|}\right) - \frac{1}{3} \, d \log\left({\left| x \right|}\right)"," ",0,"a*x - 1/4*(a - b + c - d)*log(abs(x + 1)) + 1/12*(27*a + 9*b + 3*c + d)*log(abs(x - 3)) - 1/3*d*log(abs(x))","A",0
273,0,0,0,0.000000," ","integrate(1/(2-log(x^2+1))^5,x, algorithm=""giac"")","\int -\frac{1}{{\left(\log\left(x^{2} + 1\right) - 2\right)}^{5}}\,{d x}"," ",0,"integrate(-1/(log(x^2 + 1) - 2)^5, x)","F",0
274,1,27,0,1.112586," ","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=""giac"")","e^{\left(x^{2}\right)} \log\left(x\right) - \frac{3 \, \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) - 3*log(x)/(log(x)^2 + x) + log(log(x)^2 + x)","A",0
275,1,114,0,1.005944," ","integrate(x^4*exp(1/2*x+x*z)*sin(pi*z)^4,z, algorithm=""giac"")","\frac{1}{8} \, {\left({\left(\frac{x \cos\left(4 \, \pi z\right)}{16 \, \pi^{2} + x^{2}} + \frac{4 \, \pi \sin\left(4 \, \pi z\right)}{16 \, \pi^{2} + x^{2}}\right)} e^{\left(x z + \frac{1}{2} \, x\right)} - 4 \, {\left(\frac{x \cos\left(2 \, \pi z\right)}{4 \, \pi^{2} + x^{2}} + \frac{2 \, \pi \sin\left(2 \, \pi z\right)}{4 \, \pi^{2} + x^{2}}\right)} e^{\left(x z + \frac{1}{2} \, x\right)} + \frac{3 \, e^{\left(x z + \frac{1}{2} \, x\right)}}{x}\right)} x^{4}"," ",0,"1/8*((x*cos(4*pi*z)/(16*pi^2 + x^2) + 4*pi*sin(4*pi*z)/(16*pi^2 + x^2))*e^(x*z + 1/2*x) - 4*(x*cos(2*pi*z)/(4*pi^2 + x^2) + 2*pi*sin(2*pi*z)/(4*pi^2 + x^2))*e^(x*z + 1/2*x) + 3*e^(x*z + 1/2*x)/x)*x^4","A",0
276,1,15,0,1.067130," ","integrate(erf(x),x, algorithm=""giac"")","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
277,1,37,0,1.153491," ","integrate(erf(a+x),x, algorithm=""giac"")","x \operatorname{erf}\left(a + x\right) + \frac{\sqrt{\pi} a \operatorname{erf}\left(a + x\right) + e^{\left(-a^{2} - 2 \, a x - x^{2}\right)}}{\sqrt{\pi}}"," ",0,"x*erf(a + x) + (sqrt(pi)*a*erf(a + x) + e^(-a^2 - 2*a*x - 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=""giac"")","\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=""giac"")","\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
280,1,76,0,1.375219," ","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=""giac"")","-\frac{1}{2} \, \log\left(\sqrt{x^{2} - 1} - \sqrt{x^{2} - 4} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{x^{2} - 1} - \sqrt{x^{2} - 4}\right) + \frac{1}{2} \, \log\left(\sqrt{x^{2} - 1} + 2\right) + \frac{1}{2} \, \log\left({\left| -\sqrt{x^{2} - 1} + \sqrt{x^{2} - 4} - 3 \right|}\right)"," ",0,"-1/2*log(sqrt(x^2 - 1) - sqrt(x^2 - 4) + 1) - 1/2*log(sqrt(x^2 - 1) - sqrt(x^2 - 4)) + 1/2*log(sqrt(x^2 - 1) + 2) + 1/2*log(abs(-sqrt(x^2 - 1) + sqrt(x^2 - 4) - 3))","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=""giac"")","\int x {\left(2 \, \sqrt{2} - 1\right)} - \sqrt{2} \sqrt{x^{4} + 2 \, x^{2} + 4 \, x + 1}\,{d x}"," ",0,"integrate(x*(2*sqrt(2) - 1) - sqrt(2)*sqrt(x^4 + 2*x^2 + 4*x + 1), x)","F",0
282,1,472,0,1.096445," ","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=""giac"")","-\frac{4 \, \pi^{2} \mathit{mc}^{9} x {\rm Ei}\left(-\frac{x}{y}\right) + 4 \, \pi^{2} \mathit{mc}^{9} y e^{\left(-\frac{x}{y}\right)} - 3 \, \pi^{2} \mathit{mc}^{8} x {\rm Ei}\left(-\frac{x}{y}\right) + 48 \, \pi^{2} \mathit{mc}^{7} x y {\rm Ei}\left(-\frac{x}{y}\right) - 3 \, \pi^{2} \mathit{mc}^{8} y e^{\left(-\frac{x}{y}\right)} - 144 \, \pi^{2} \mathit{mc}^{5} x y^{2} e^{\left(-\frac{x}{y}\right)} \log\left(\frac{x}{\mathit{mc}^{2}}\right) - 24 \, \pi^{2} \mathit{mc}^{6} x y {\rm Ei}\left(-\frac{x}{y}\right) + 144 \, \pi^{2} \mathit{mc}^{5} x y^{2} {\rm Ei}\left(-\frac{x}{y}\right) - 144 \, \pi^{2} \mathit{mc}^{5} x y^{2} e^{\left(-\frac{x}{y}\right)} + 36 \, \pi^{2} \mathit{mc}^{4} x y^{2} e^{\left(-\frac{x}{y}\right)} \log\left(\frac{x}{\mathit{mc}^{2}}\right) - 96 \, \pi^{2} \mathit{mc}^{3} x^{2} y^{2} e^{\left(-\frac{x}{y}\right)} \log\left(\frac{x}{\mathit{mc}^{2}}\right) - 96 \, \pi^{2} \mathit{mc}^{3} x y^{3} e^{\left(-\frac{x}{y}\right)} \log\left(\frac{x}{\mathit{mc}^{2}}\right) - 36 \, \pi^{2} \mathit{mc}^{4} x y^{2} {\rm Ei}\left(-\frac{x}{y}\right) + 96 \, \pi^{2} \mathit{mc}^{3} x y^{3} {\rm Ei}\left(-\frac{x}{y}\right) + 176 \, \pi^{2} \mathit{mc}^{3} x^{2} y^{2} e^{\left(-\frac{x}{y}\right)} + 80 \, \pi^{2} \mathit{mc}^{3} x y^{3} e^{\left(-\frac{x}{y}\right)} - 24 \, \pi^{2} \mathit{mc}^{2} x^{2} y^{2} e^{\left(-\frac{x}{y}\right)} + 12 \, \pi^{2} \mathit{mc} x^{3} y^{2} e^{\left(-\frac{x}{y}\right)} - 24 \, \pi^{2} \mathit{mc}^{2} x y^{3} e^{\left(-\frac{x}{y}\right)} + 24 \, \pi^{2} \mathit{mc} x^{2} y^{3} e^{\left(-\frac{x}{y}\right)} + 24 \, \pi^{2} \mathit{mc} x y^{4} e^{\left(-\frac{x}{y}\right)} + 3 \, \pi^{2} x^{3} y^{2} e^{\left(-\frac{x}{y}\right)} + 6 \, \pi^{2} x^{2} y^{3} e^{\left(-\frac{x}{y}\right)} + 6 \, \pi^{2} x y^{4} e^{\left(-\frac{x}{y}\right)}}{384 \, x y}"," ",0,"-1/384*(4*pi^2*mc^9*x*Ei(-x/y) + 4*pi^2*mc^9*y*e^(-x/y) - 3*pi^2*mc^8*x*Ei(-x/y) + 48*pi^2*mc^7*x*y*Ei(-x/y) - 3*pi^2*mc^8*y*e^(-x/y) - 144*pi^2*mc^5*x*y^2*e^(-x/y)*log(x/mc^2) - 24*pi^2*mc^6*x*y*Ei(-x/y) + 144*pi^2*mc^5*x*y^2*Ei(-x/y) - 144*pi^2*mc^5*x*y^2*e^(-x/y) + 36*pi^2*mc^4*x*y^2*e^(-x/y)*log(x/mc^2) - 96*pi^2*mc^3*x^2*y^2*e^(-x/y)*log(x/mc^2) - 96*pi^2*mc^3*x*y^3*e^(-x/y)*log(x/mc^2) - 36*pi^2*mc^4*x*y^2*Ei(-x/y) + 96*pi^2*mc^3*x*y^3*Ei(-x/y) + 176*pi^2*mc^3*x^2*y^2*e^(-x/y) + 80*pi^2*mc^3*x*y^3*e^(-x/y) - 24*pi^2*mc^2*x^2*y^2*e^(-x/y) + 12*pi^2*mc*x^3*y^2*e^(-x/y) - 24*pi^2*mc^2*x*y^3*e^(-x/y) + 24*pi^2*mc*x^2*y^3*e^(-x/y) + 24*pi^2*mc*x*y^4*e^(-x/y) + 3*pi^2*x^3*y^2*e^(-x/y) + 6*pi^2*x^2*y^3*e^(-x/y) + 6*pi^2*x*y^4*e^(-x/y))/(x*y)","A",0
283,1,4,0,1.088965," ","integrate(sin(2*x)/cos(x),x, algorithm=""giac"")","-2 \, \cos\left(x\right)"," ",0,"-2*cos(x)","A",0
284,1,94,0,1.291969," ","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=""giac"")","-\frac{1}{2} \, \sqrt{2} \log\left({\left| x^{7} + \sqrt{2} x^{2} + \sqrt{2} x - x - 1 \right|}\right) + \frac{1}{2} \, \sqrt{2} \log\left({\left| x^{7} - \sqrt{2} x^{2} - \sqrt{2} x - x - 1 \right|}\right) + \frac{1}{2} \, \log\left({\left| x^{14} - 2 \, x^{8} - 2 \, x^{7} - 2 \, x^{4} - 4 \, x^{3} - x^{2} + 2 \, x + 1 \right|}\right)"," ",0,"-1/2*sqrt(2)*log(abs(x^7 + sqrt(2)*x^2 + sqrt(2)*x - x - 1)) + 1/2*sqrt(2)*log(abs(x^7 - sqrt(2)*x^2 - sqrt(2)*x - x - 1)) + 1/2*log(abs(x^14 - 2*x^8 - 2*x^7 - 2*x^4 - 4*x^3 - x^2 + 2*x + 1))","A",0
