lst:=[[sin(x)*sin(2*x)*sin(3*x),x,5,-1/8*cos(2*x)-1/16*cos(4*x)+1/24*cos(6*x)],
[sin(2*x)^3*cos(x),x,4,-8/5*cos(x)^5+8/7*cos(x)^7],
[(x+1)^2*(x-1)^(1/3),x,2,3/70*(x-1)^(4/3)*(7*x^2+26*x+37)],
[x*ln(1+1/x),x,4,1/2*x+1/2*x^2*ln(1+1/x)-1/2*ln(x+1)],
[sin(ln(x))^2,x,2,2/5*x-2/5*x*cos(ln(x))*sin(ln(x))+1/5*x*sin(ln(x))^2],
[1/(1+3*exp(x)),x,3,x-ln(1+3*exp(x))],
[1/sin(x)^3/cos(x)^5,x,4,-1/2*cot(x)^2+3*ln(tan(x))+3/2*tan(x)^2+1/4*tan(x)^4],
[1/x/(x^4-1)^(1/2),x,3,1/2*arctan((x^4-1)^(1/2))],
[1/x/(x^5+1),x,3,ln(x)-1/5*ln(x^5+1)],
[tan(x)^(1/2),x,10,1/2*arctan(-1+2^(1/2)*tan(x)^(1/2))*2^(1/2)+1/2*arctan(1+2^(1/2)*tan(x)^(1/2))*2^(1/2)-1/2*arctanh(2^(1/2)*tan(x)^(1/2)/(1+tan(x)))*2^(1/2)],
[ln(x+1)/(x^2+1),x,8,-1/2*I*ln((1/2-1/2*I)*(I-x))*ln(x+1)+1/2*I*ln((-1/2-1/2*I)*(I+x))*ln(x+1)-1/2*I*polylog(2,(1/2-1/2*I)*(x+1))+1/2*I*polylog(2,(1/2+1/2*I)*(x+1))],
[x^(1/2)/(x^(1/2)-x^(1/3)),x,4,6*x^(1/6)+3*x^(1/3)+2*x^(1/2)+3/2*x^(2/3)+6/5*x^(5/6)+x+6*ln(1-x^(1/6))],
[x^x*(1+ln(x)),x,5,x^x],
[x^(13/2)*(1+x^(5/2))^(1/2),x,3,4/525*(1+x^(5/2))^(3/2)*(8-12*x^(5/2)+15*x^5)],
[1/(x^2+1)^2,x,2,x/(2*x^2+2)+1/2*arctan(x)],
[1/(x^4-13*x^2+36),x,3,-1/15*arctanh(1/3*x)+1/10*arctanh(1/2*x)],
[ln(ln(x))/x,x,1,-ln(x)+ln(x)*ln(ln(x))],
[(1+cot(x))/(1-cot(x)),x,1,ln(cos(x)-sin(x))],
[(cos(x)+x*sin(x))/x/(x+cos(x)),x,2,-ln(1+cos(x)/x)],
[1/(sin(x)+sec(x)),x,1,arctan(cos(x)+sin(x))-1/3*3^(1/2)*arctanh(1/3*(cos(x)-sin(x))*3^(1/2))],
[1/(1+exp(x)+exp(2*x))^(1/2),x,3,-arctanh(1/2*(2+exp(x))/(1+exp(x)+exp(2*x))^(1/2))],
[x^3*exp(x^2),x,3,-1/2*exp(x^2)+1/2*exp(x^2)*x^2],
[1/ln(x)-1/ln(x)^2,x,4,x/ln(x)],
[(x-1)^(1/2)*(2-x)^(1/2),x,4,1/4*(x-1)^(1/2)*(2-x)^(1/2)-1/2*(2-x)^(3/2)*(x-1)^(1/2)+1/4*arcsin((x-1)^(1/2))],
[(x^6-1)/(x^4+x^3-x-1),x,2,x-1/2*x^2+1/3*x^3],
[2*ln(x)+ln(x)^2,x,4,x*ln(x)^2],
[2*x/(-x^4+1)^(1/2),x,3,arcsin(x^2)],
[(x^2+1)/(x+1),x,2,-x+1/2*x^2+2*ln(x+1)],
[(sin(x)^3+sin(x)^2-2*sin(x)-2)/(1+sin(x)^2+2*sin(x)),x,4,-x-cos(x)+cos(x)/(1+sin(x))],
[1/sinh(x)^2,x,2,-coth(x)],
[sec(x)^4*tan(x)^2,x,3,1/5*tan(x)^5+1/3*tan(x)^3],
[(csc(x)-sin(x))^(1/2),x,3,2*(cos(x)*cot(x))^(1/2)*tan(x)],
[cos(x)^6,x,4,5/16*x+5/16*cos(x)*sin(x)+5/24*cos(x)^3*sin(x)+1/6*cos(x)^5*sin(x)],
[1/(x^4+2*x^2+1),x,3,x/(2*x^2+2)+1/2*arctan(x)],
[cos(ln(x)),x,1,1/2*x*cos(ln(x))+1/2*x*sin(ln(x))],
[1/cos(x),x,1,arctanh(sin(x))],
[1/(9*cos(x)^2+4*sin(x)^2),x,2,1/6*x-1/6*arctan(cos(x)*sin(x)/(2+cos(x)^2))],
[1/x^2/(x^4+1)^(3/4),x,1,-(x^4+1)^(1/4)/x],
[cos(x)*cos(3*x)*cos(5*x),x,6,1/4*sin(x)+1/12*sin(3*x)+1/28*sin(7*x)+1/36*sin(9*x)],
[1/ln(x)+ln(ln(x)),x,4,x*ln(ln(x))],
[1/(2+exp(x)),x,3,-arctanh(1+exp(x))],
[(x/(-x^3+1))^(1/2),x,4,2/3*(x/(-x^3+1))^(1/2)*(-x^3+1)^(1/2)*arcsin(x^(3/2))/x^(1/2)],
[4*x/(-x^4+1),x,3,2*arctanh(x^2)],
[x^x*(1+ln(x)),x,5,x^x],
[(-x^2+6*x)^(1/2),x,5,1/2*(-3+x)*(-(-6+x)*x)^(1/2)+9/2*arcsin(-1+1/3*x)],
[sin(101*x)*sin(x)^99,x,1,1/100*sin(x)^100*sin(100*x)],
[x*exp(exp(x^2)),x,3,1/2*Ei(exp(x^2))],
[(x^3-3*x^2+3*x-1)/(x^4+4*x^3+6*x^2+4*x+1),x,4,8/3/(x+1)^3-6/(x+1)^2+6/(x+1)+ln(x+1)],
[((1-x)/(x+1))^(1/2),x,4,((1-x)/(x+1))^(1/2)*(x+1)-2*arctan(((1-x)/(x+1))^(1/2))],
[1/(x^(1/2)-1),x,3,2*x^(1/2)+2*ln(1-x^(1/2))],
[x^(1/4)*ln(x),x,1,-16/25*x^(5/4)+4/5*x^(5/4)*ln(x)],
[1/(1+x^(1/2))/(-x^2+x)^(1/2),x,4,-2*(1-x^(1/2))/(1-x)^(1/2)],
[1/x^(1/2)/(x^(1/4)+1)^10,x,3,4/9/(x^(1/4)+1)^9-1/2/(x^(1/4)+1)^8],
[(-x^2+1)^(1/2),x,2,1/2*x*(-x^2+1)^(1/2)+1/2*arcsin(x)],
[1/(-x^2-4*x+1)^(1/2),x,2,arcsin(1/5*(2+x)*5^(1/2))],
[ln(1/x),x,1,x+x*ln(1/x)],
[1/(1+sin(x)),x,1,-cos(x)/(1+sin(x))],
[x^(1/2)/((2012-x)^(1/2)+x^(1/2)),x,7,-1/2*(2012-x)^(1/2)*x^(1/2)+1/2*x+503*arctanh(1/1006*(2012-x)^(1/2)*x^(1/2))+503*ln(1006-x)],
[(x-1)/(x+1)/(x^3+x^2+x)^(1/2),x,4,-2*x^(1/2)*(x^2+x+1)^(1/2)*arctan(x^(1/2)/(x^2+x+1)^(1/2))/(x^3+x^2+x)^(1/2)],
[(x^4+4*x^3+6*x^2+4*x+1)/(x^3-3*x^2+3*x-1),x,4,-8/(1-x)^2+32/(1-x)+7*x+1/2*x^2+24*ln(1-x)],
[cos(x)*ln(x)+sin(x)/x,x,4,ln(x)*sin(x)],
[1/(x^3-x),x,4,-ln(x)+1/2*ln(-x^2+1)],
[x*arcsin(x)/(-x^2+1)^(1/2),x,2,x-(-x^2+1)^(1/2)*arcsin(x)],
[x*(1-x)^99,x,2,-1/100*(1-x)^100+1/101*(1-x)^101],
[sin(4*x)/sin(x),x,2,4*sin(x)-8/3*sin(x)^3],
[1/x^(1/2)/(1+x^(1/3)),x,4,6*x^(1/6)-6*arctan(x^(1/6))],
[1/(2*x^2-1)^(1/2),x,2,1/2*arctanh(2^(1/2)*x/(2*x^2-1)^(1/2))*2^(1/2)],
[1/(exp(x)-1)^(1/2),x,3,2*arctan((exp(x)-1)^(1/2))],
[x/(x^4+4),x,2,1/4*arctan(1/2*x^2)],
[2/(cos(x)-sin(x))^2,x,2,2/(-1+cot(x))],
[x*cosh(x)/sinh(x)^2,x,2,-arctanh(cosh(x))-x*csch(x)],
[x^5*(x^3+1)^(1/2),x,3,-2/9*(x^3+1)^(3/2)+2/15*(x^3+1)^(5/2)],
[(x^7-1)/ln(x),x,5,Ei(8*ln(x))-Li(x)],
[(csc(x)-sin(x))^(1/2),x,3,2*(cos(x)*cot(x))^(1/2)*tan(x)],
[ln(x^2)-2*ln(2*x),x,3,-2*x*ln(2*x)+x*ln(x^2)],
[exp(x),x,1,exp(x)],
[(cos(x)*ln(x)-sin(x)/x)/ln(x)^2,x,0,sin(x)/ln(x)],
[x^3-3*x^2+3*x-1,x,2,1/4*(1-x)^4],
[(-3*x^2+12)^(1/2),x,2,1/2*3^(1/2)*x*(-x^2+4)^(1/2)+2*3^(1/2)*arcsin(1/2*x)],
[x+(-3+x)^7+sin(-3+x),x,2,1/8*(3-x)^8+1/2*x^2-cos(-3+x)],
[sin(x)*(1+tan(x)^2)^(1/2),x,3,-cos(x)*ln(cos(x))*(sec(x)^2)^(1/2)],
[(x^5-x^3+x^2-1)/(x^4-x^3+x-1),x,2,1/2*(x+1)^2],
[ln(x),x,1,-x+x*ln(x)],
[1/(1-exp(-x)),x,3,ln(exp(x)-1)],
[sin(x)^2*cos(x)^2,x,3,1/8*x-1/32*sin(4*x)],
[Pi*sin(Pi*x^(1/2))/x^(1/2),x,3,-2*cos(Pi*x^(1/2))],
[tan(x)^2,x,2,-x+tan(x)],
[exp(x^(1/4)),x,5,4*exp(x^(1/4))*(-6+6*x^(1/4)-3*x^(1/2)+x^(3/4))],
[cos(x)*cot(x),x,3,-arctanh(cos(x))+cos(x)],
[2*ln(x)+ln(x)^2,x,4,x*ln(x)^2],
[x^3/(x^2+1),x,3,1/2*x^2-1/2*ln(x^2+1)],
[1/(x^2-2*x+2),x,2,arctan(x-1)],
[sin(x)*ln(sin(x)),x,4,-arctanh(cos(x))+cos(x)-cos(x)*ln(sin(x))],
[x/(-x^4+1),x,2,1/2*arctanh(x^2)],
[(-3*x^2+12)^(1/2),x,2,1/2*3^(1/2)*x*(-x^2+4)^(1/2)+2*3^(1/2)*arcsin(1/2*x)],
[sec(x)^5*tan(x)^3,x,3,-1/5*sec(x)^5+1/7*sec(x)^7],
[1/(1-sin(x)),x,1,cos(x)/(1-sin(x))],
[1/x/(x^2-2)^(1/2),x,3,1/2*arctan(1/2*(x^2-2)^(1/2)*2^(1/2))*2^(1/2)],
[ln(x^2),x,1,-2*x+x*ln(x^2)],
[sin(x^(1/3)),x,4,6*cos(x^(1/3))-3*x^(2/3)*cos(x^(1/3))+6*x^(1/3)*sin(x^(1/3))],
[exp(-x^2+x+1)*(1-2*x),x,1,exp(-x^2+x+1)],
[x^(1/2)*exp(x^(1/2)),x,4,4*exp(x^(1/2))-4*x^(1/2)*exp(x^(1/2))+2*exp(x^(1/2))*x],
[sin(2*x)*cos(3*x),x,1,1/2*cos(x)-1/10*cos(5*x)],
[1+2*sin(x),x,2,x-2*cos(x)],
[x*(1-x)^2014,x,2,-1/2015*(1-x)^2015+1/2016*(1-x)^2016],
[arcsinh(x),x,2,x*arcsinh(x)-(x^2+1)^(1/2)],
[x^2/(x-1),x,2,x+1/2*x^2+ln(1-x)],
[x*arctan(x),x,3,-1/2*x+1/2*arctan(x)+1/2*x^2*arctan(x)],
[1/(x^2-15*x-2014),x,2,1/91*ln(53-x)-1/91*ln(38+x)],
[exp(x)*(ln(x^2+1)-2*(x+1)*arctan(x)),x,13,-2*exp(x)*x*arctan(x)+exp(x)*ln(x^2+1)],
[arcsin(x)^2,x,3,-2*x+2*(-x^2+1)^(1/2)*arcsin(x)+x*arcsin(x)^2],
[(x^2-1)^(1/2)/x,x,4,(x^2-1)^(1/2)-arctan((x^2-1)^(1/2))],
[x*sec(4*x)^2,x,2,1/16*ln(cos(4*x))+1/4*x*tan(4*x)],
[2/(-x^3+6*x^2-11*x+6),x,4,-ln(1-x)+2*ln(2-x)-ln(3-x)],
[1/(1-ln(1-x)),x,3,exp(1)*Ei(-1+ln(1-x))],
[(x+(x^2+1)^(1/2))^(1/2),x,3,-1/(x+(x^2+1)^(1/2))^(1/2)+1/3*(x+(x^2+1)^(1/2))^(3/2)],
[1/(2+cos(x)),x,1,2/3*arctan(1/3*tan(1/2*x)*3^(1/2))*3^(1/2)],
[cos(x)^4-sin(x)^4,x,0,cos(x)*sin(x)],
[x/(2+4*x)^(1/2),x,2,1/6*(x-1)*(2+4*x)^(1/2)],
[cos(x^(1/2))/x^(1/2),x,2,2*sin(x^(1/2))],
[sec(x),x,1,arctanh(sin(x))],
[exp(sin(x))/tan(x)/csc(x),x,2,exp(sin(x))],
[x*ln(x)^2,x,2,1/4*x^2-1/2*x^2*ln(x)+1/2*x^2*ln(x)^2],
[1/(5+4*x^(1/2)+x),x,5,-4*arctan(2+x^(1/2))+ln(5+4*x^(1/2)+x)],
[2015^x,x,1,2015^x/ln(2015)],
[x/(-3+x)/(x+5)^2,x,2,-5/(8*x+40)-3/32*arctanh(1/4*x+1/4)],
[ln(1+ln(x))/x,x,3,-ln(x)+(1+ln(x))*ln(1+ln(x))],
[(csc(x)-sin(x))^(1/2),x,3,2*(cos(x)*cot(x))^(1/2)*tan(x)],
[1/(x^2+25)^(1/2),x,1,arcsinh(1/5*x)],
[(ln(x)^2-1)/x/ln(x)^2,x,3,1/ln(x)+ln(x)],
[exp(3*x)*arctan(exp(x)),x,5,-1/6*exp(2*x)+1/3*exp(3*x)*arctan(exp(x))+1/6*ln(1+exp(2*x))],
[1/(sin(x)^4+cos(x)^4),x,6,2^(1/2)*x+1/2*arctan((1-2*cos(x)^2)/(1+2^(1/2)-2*cos(x)*sin(x)))*2^(1/2)-1/2*arctan((1-2*cos(x)^2)/(1+2^(1/2)+2*cos(x)*sin(x)))*2^(1/2)],
[(1+exp(x))/(1-exp(x)),x,3,x-2*ln(1-exp(x))],
[tan(x)^4,x,3,x-tan(x)+1/3*tan(x)^3],
[sin(x)*tan(x)^2,x,3,cos(x)+sec(x)],
[(x+1)/(x^2+2*x+3),x,1,1/2*ln(x^2+2*x+3)],
[tanh(x),x,1,ln(cosh(x))],
[x^3-x,x,1,-1/2*x^2+1/4*x^4],
[1/2*ln(x),x,1,-1/2*x+1/2*x*ln(x)],
[exp(exp(x)+exp(-x)+x)-exp(exp(x)+exp(-x)-x),x,0,exp(exp(x)+exp(-x))],
[ln(ln(x))/x/ln(x),x,2,1/2*ln(ln(x))^2],
[1/(1+tan(x)^2),x,3,1/2*x+1/2*cos(x)*sin(x)],
[arcsin(1/3*x^(1/3)),x,5,9*(9-x^(2/3))^(1/2)-1/3*(9-x^(2/3))^(3/2)+x*arcsin(1/3*x^(1/3))],
[ln(x),x,1,-x+x*ln(x)],
[exp(x)*(cos(x)-sin(x)),x,1,exp(x)*cos(x)],
[x^3*exp(-x^2),x,3,-1/2/exp(x^2)-1/2*x^2/exp(x^2)],
[(1+2*x*exp(x^2))*cos(x)-(x+exp(x^2))*sin(x),x,0,(x+exp(x^2))*cos(x)],
[(1+x^(1/2)+x^(1/3))*(1+1/x^(1/2)+1/x^(1/3)),x,3,2*x^(1/2)+3/2*x^(2/3)+6/5*x^(5/6)+3*x+6/7*x^(7/6)+3/4*x^(4/3)+2/3*x^(3/2)],
[sin(sin(x))*cos(sin(x))*cos(x),x,3,1/2*sin(sin(x))^2],
[(cos(x)+sin(x))/x^2+(sin(x)-cos(x))/x,x,11,-cos(x)/x-sin(x)/x],
[x^3*(x^2+1)^(1/2),x,3,-1/3*(x^2+1)^(3/2)+1/5*(x^2+1)^(5/2)],
[x/(x^4+x^2+1),x,3,1/3*arctan(1/3*(2*x^2+1)*3^(1/2))*3^(1/2)],
[exp(exp(2016*x)+6048*x),x,4,1/1008*exp(exp(1)^(2016*x))-1/1008*exp(exp(1)^(2016*x)+2016*x)+1/2016*exp(exp(1)^(2016*x)+4032*x)],
[1-cos(x)/sin(x),x,2,x-ln(sin(x))],
[1/(-x^3+x^2-x+1),x,6,1/2*arctan(x)-1/2*ln(1-x)+1/4*ln(x^2+1)],
[1/(2+cosh(x)),x,1,2/3*arccoth(3^(1/2)*coth(1/2*x))*3^(1/2)],
[x^2/(x^3+2)^(1/2),x,1,2/3*(x^3+2)^(1/2)],
[ln(x)/x^2,x,1,-1/x-ln(x)/x],
[sech(x),x,1,arctan(sinh(x))],
[x^3*exp(x^2),x,3,-1/2*exp(x^2)+1/2*exp(x^2)*x^2],
[1/x/(x^2-1)^(1/2),x,3,arctan((x^2-1)^(1/2))],
[1/x/(x^2+1),x,3,ln(x)-1/2*ln(x^2+1)],
[arccosh(x),x,2,-(x-1)^(1/2)*(x+1)^(1/2)+x*arccosh(x)],
[exp(-2*x^2-5*x-3),x,2,1/4*exp(1/8)*Pi^(1/2)*erf(1/4*(5+4*x)*2^(1/2))*2^(1/2)],
[sin(x^(1/2)),x,3,-2*x^(1/2)*cos(x^(1/2))+2*sin(x^(1/2))],
[1/(x+1/x)^2,x,3,-x/(2*x^2+2)+1/2*arctan(x)],
[(2+x)*exp(-x)/x^3,x,1,-1/exp(x)/x^2],
[1/(x*(1-x))^(1/2),x,3,arcsin(-1+2*x)],
[tanh(x)/exp(x),x,3,exp(-x)+2*arctan(exp(x))],
[(1+sin(x))^(1/2),x,1,-2*cos(x)/(1+sin(x))^(1/2)],
[1/(1+x^(1/2)),x,3,2*x^(1/2)-2*ln(1+x^(1/2))],
[sin(x+1/4*Pi)^2/exp(x^2),x,7,1/4*Pi^(1/2)*erf(x)+1/8*Pi^(1/2)*erfi(-1+I*x)*exp(-1)-1/8*Pi^(1/2)*erfi(1+I*x)*exp(-1)],
[3*x^2*(x^3+1)^2*exp(-x^6-2*x^3),x,5,-1/2*exp(-x^6-2*x^3)*(x^3+1)+1/4*exp(1)*Pi^(1/2)*erf(x^3+1)],
[exp(2*x)*cos(3*x),x,1,2/13*exp(2*x)*cos(3*x)+3/13*exp(2*x)*sin(3*x)],
[cos(x)^(1+cos(x))*tan(x)*(1+ln(cos(x))),x,6,-cos(x)^cos(x)],
[exp(x)/(2+exp(x)),x,2,ln(2+exp(x))],
[sin(2018*x),x,1,-1/2018*cos(2018*x)],
[1/(tan(x)+cot(x)),x,2,1/2*sin(x)^2],
[x^5/(x^12+2),x,2,1/12*arctan(1/2*x^6*2^(1/2))*2^(1/2)],
[cos(x)*cosh(x)+sin(x)*sinh(x),x,-9,cosh(x)*sin(x)],
[(exp(x)+cos(x))/(exp(x)+sin(x)),x,1,ln(exp(x)+sin(x))],
[sin(cos(sin(x)))*sin(sin(x))*cos(x),x,3,cos(cos(sin(x)))],
[1/(1+sin(x)),x,1,-cos(x)/(1+sin(x))],
[cos(x)/(1-cos(2*x)),x,2,-1/2*csc(x)],
[exp(x)*(1/x+ln(x)),x,1,exp(x)*ln(x)],
[tanh(x)^2,x,2,x-tanh(x)],
[(sin(2*x)-sin(x)^2)/(cos(2*x)-cos(x)^2),x,0,x-2*ln(sin(x))],
[1/(x^(41/25)+x^(9/25)),x,4,25/16*arctan(x^(16/25))],
[cos(x)/(2-cos(x)^2),x,2,arctan(sin(x))],
[1/(x^2+1)^(3/2),x,1,x/(x^2+1)^(1/2)],
[1/(x^(3/2)-x^2)^(1/2),x,2,4*arctan(x/(x^(3/2)-x^2)^(1/2))],
[(x-1)/(x+x^2*ln(x)),x,2,ln(1/x+ln(x))],
[csc(x)*sec(x),x,2,ln(tan(x))],
[tan(cos(x)),x,0,CannotIntegrate(tan(cos(x)),x)],
[(x+1)/x/(x+ln(x)),x,1,ln(x+ln(x))],
[exp(x+exp(x))+exp(x-exp(x)),x,5,2*sinh(exp(x))],
[1/(-x^2+1),x,1,arctanh(x)],
[2^ln(x),x,2,2^ln(x)*x/(1+ln(2))],
[cos(3*x)+sin(2*x)*(-sin(2019*x)+cos(3*x)),x,6,1/2*cos(x)-1/10*cos(5*x)+1/3*sin(3*x)-1/4034*sin(2017*x)+1/4042*sin(2021*x)],
[cos(x)*cos(sin(x))*cos(sin(sin(x))),x,3,sin(sin(sin(x)))],
[exp(-2019/4/x^2)/x^2,x,2,-1/2019*2019^(1/2)*Pi^(1/2)*erf(1/2*2019^(1/2)/x)],
[sin(x^(1/2)),x,3,-2*x^(1/2)*cos(x^(1/2))+2*sin(x^(1/2))],
[x^(1/2)/(x+1),x,3,2*x^(1/2)-2*arctan(x^(1/2))],
[cos(x)*cos(2*x)*cos(3*x),x,5,1/4*x+1/8*sin(2*x)+1/16*sin(4*x)+1/24*sin(6*x)],
[exp(-x^(2*n)),x,1,-1/2*x*Ei(1-1/2/n,x^(2*n))/n],
[x^(1/ln(x)),x,1,exp(1)*x],
[(sin(20*x)+sin(19*x))/(cos(20*x)+cos(19*x)),x,2,-2/39*ln(cos(39/2*x))],
[exp(x)*(cos(x)^2+cos(x)*sin(x)-sin(x)^2),x,1,exp(x)*cos(x)*sin(x)],
[sin(x)/sin(x+1/4*Pi),x,3,1/2*2^(1/2)*x-1/2*ln(sin(x+1/4*Pi))*2^(1/2)],
[1/(x+x^(1/3)),x,2,3/2*ln(1+x^(2/3))],
[x^(x^2+1)*(1+2*ln(x)),x,0,x^(x^2)],
[(2*x^3-1)/x/(x^3+1),x,3,-ln(x)+ln(x^3+1)],
[1/(x^2+1)^(1/2),x,1,arcsinh(x)],
[ln(2*x)/x/ln(x),x,0,ln(x)+ln(2)*ln(ln(x))],
[1/(1+exp(x)),x,3,x-ln(1+exp(x))],
[ln(x)*ln(ln(x))/x,x,2,-1/4*ln(x)^2+1/2*ln(x)^2*ln(ln(x))],
[ln((x+1)/(1-x)),x,2,2*ln(1-x)+(x+1)*ln((x+1)/(1-x))],
[1/(x^2+(x-1)^2),x,3,arctan(-1+2*x)],
[(x*(x^(3/2))^(1/2))^(1/2),x,4,8/15*x*(x*(x^(3/2))^(1/2))^(1/2)],
[sin(x)^4*cos(x)^4*(cos(x)+sin(x))*(cos(x)-sin(x)),x,2,1/5*cos(x)^5*sin(x)^5],
[ln(x^2+1),x,3,-2*x+2*arctan(x)+x*ln(x^2+1)],
[(2*x+1)/(2*x^2+2*x+1),x,1,1/2*ln(2*x^2+2*x+1)],
[arcsin(x)/x^3,x,2,-1/2*(-x^2+1)^(1/2)/x-1/2*arcsin(x)/x^2],
[sin(2*x)*cos(cos(x)),x,4,-2*cos(cos(x))-2*cos(x)*sin(cos(x))],
[-sin(x-sin(x)),x,0,-CannotIntegrate(sin(x-sin(x)),x)],
[1/(tan(x)^(2*505^(1/2))+1),x,0,Unintegrable(1/(tan(x)^(2*505^(1/2))+1),x)],
[x*(1-x)^2020,x,2,-1/2021*(1-x)^2021+1/2022*(1-x)^2022],
[sec(x)^4*tan(x)/(sec(x)^4+4),x,0,1/4*ln(sec(x)^4+4)],
[x^(2*x)*(2*ln(x)+2),x,7,x^(2*x)],
[(-x^2+1)^(1/2),x,2,1/2*x*(-x^2+1)^(1/2)+1/2*arcsin(x)],
[x^5*exp(-x^4),x,3,-1/4*x^2/exp(x^4)+1/8*Pi^(1/2)*erf(x^2)],
[(1+cos(x))/(x+sin(x)),x,1,ln(x+sin(x))],
[(arctan(x)+arccot(x))/x,x,8,-1/2*I*polylog(2,-I/x)+1/2*I*polylog(2,I/x)+1/2*I*polylog(2,-I*x)-1/2*I*polylog(2,I*x)],
[sinh(x)/(cosh(x)-sinh(x)),x,2,-1/2*x+1/2*exp(x)*sinh(x)],
[x/((x-1)^(1/2)+(x+1)^(1/2)),x,5,-1/3*(x-1)^(3/2)-1/5*(x-1)^(5/2)-1/3*(x+1)^(3/2)+1/5*(x+1)^(5/2)],
[cos(x+cos(x)),x,0,CannotIntegrate(cos(x+cos(x)),x)],
[x^3*sin(x^2),x,3,-1/2*x^2*cos(x^2)+1/2*sin(x^2)],
[x/(-x^4+1),x,2,1/2*arctanh(x^2)],
[1/cosh(x)^2,x,2,tanh(x)],
[exp(exp(x))-exp(exp(x)-x),x,6,exp(exp(x)-x)],
[(1-x^(1/2))^(1/2),x,3,-4/3*(1-x^(1/2))^(3/2)+4/5*(1-x^(1/2))^(5/2)],
[x^3/(1+x+1/2*x^2+1/6*x^3),x,2,6*x-6*ln(1+x+1/2*x^2+1/6*x^3)],
[sin(x+sin(x))-sin(x-sin(x)),x,0,-2*cos(sin(x))],
[tan(x)^4*sec(x)^3+tan(x)^2*sec(x)^5,x,0,1/3*sec(x)^3*tan(x)^3],
[(1+ln(x))*ln(ln(x)),x,0,x*(-1+ln(x)*ln(ln(x)))],
[1/(1+sin(x))+1/(1+cos(x))+1/(1+tan(x))+1/(1+cot(x))+1/(1+sec(x))+1/(1+csc(x)),x,1,3*x],
[1/(-x^2+x)^(1/2),x,3,arcsin(-1+2*x)],
[1/(1+cos(x)^2),x,1,1/2*2^(1/2)*x-1/2*arctan(cos(x)*sin(x)/(1+2^(1/2)+cos(x)^2))*2^(1/2)],
[ln(x+1)/x^2,x,3,ln(x)-ln(x+1)-ln(x+1)/x],
[(1-(-1/2*Pi+arcsin(sin(x)))^2)^(1/2),x,0,-1/2*((1/2*Pi-arcsin(sin(x)))*(1-(1/2*Pi-arcsin(sin(x)))^2)^(1/2)-2*arctan((1-(1/2*Pi-arcsin(sin(x)))^2)^(1/2)/(1+1/2*Pi-arcsin(sin(x)))))*(cos(x)^2)^(1/2)*sec(x)],
[(x-2)*(x-1)*x*(x+1)*(2+x),x,5,2*x^2-5/4*x^4+1/6*x^6],
[(3*x^3+2*x^2+1)/(x^3+1)^(1/3),x,4,(x^3+1)^(2/3)+x*(x^3+1)^(2/3)],
[1/sin(x)^4/cos(x)^4,x,3,-8*cot(2*x)-8/3*cot(2*x)^3],
[(x+sin(x))/(1+cos(x)),x,6,x*tan(1/2*x)],
[sinh(x)^3*cosh(x)^2,x,3,-1/3*cosh(x)^3+1/5*cosh(x)^5],
[4^x*3^(2^x),x,3,-3^(2^x)/ln(2)/ln(3)^2+2^x*3^(2^x)/ln(2)/ln(3)],
[(cos(x)-sin(x))/(2+sin(2*x)),x,0,arctan(cos(x)+sin(x))],
[(sec(1+ln(x))^2-tan(1+ln(x)))/x^2,x,0,tan(1+ln(x))/x],
[(1/x*ln(1/x))^(1/2),x,5,2*x*(1/x*ln(1/x))^(1/2)-2^(1/2)*Pi^(1/2)*erf(1/2*ln(1/x)^(1/2)*2^(1/2))*(1/x*ln(1/x))^(1/2)/(1/x)^(1/2)/ln(1/x)^(1/2)],
[(1-cos(x))^5*cos(5*x),x,24,-1/32*x+5/16*sin(x)-45/64*sin(2*x)+5/4*sin(3*x)-105/64*sin(4*x)+63/40*sin(5*x)-35/32*sin(6*x)+15/28*sin(7*x)-45/256*sin(8*x)+5/144*sin(9*x)-1/320*sin(10*x)],
[(4*sin(x)+3*cos(x))/(3*sin(x)+4*cos(x)),x,1,24/25*x-7/25*ln(3*sin(x)+4*cos(x))],
[(4-(x+1)^2)^(1/2)-3^(1/2)-(-x^2+4)^(1/2),x,6,-x*3^(1/2)-1/2*x*(-x^2+4)^(1/2)+1/2*(x+1)*(4-(x+1)^2)^(1/2)-2*arcsin(1/2*x)+2*arcsin(1/2*x+1/2)],
[x^2*sin(ln(x)),x,1,-1/10*x^3*cos(ln(x))+3/10*x^3*sin(ln(x))],
[exp(-x)*(x^7-12*x^6+36*x^5),x,25,-720/exp(x)-720*x/exp(x)-360*x^2/exp(x)-120*x^3/exp(x)-30*x^4/exp(x)-6*x^5/exp(x)+5*x^6/exp(x)-x^7/exp(x)],
[arcsin(x)*arccos(x),x,0,2*x-(-x^2+1)^(1/2)*arcsin(x)+arccos(x)*((-x^2+1)^(1/2)+x*arcsin(x))],
[(-x^4+4*x^3-7*x^2+6*x+1)^n,x,0,3^n*(x-1)*AppellF1(1/2,-n,-n,3/2,2*(x-1)^2/(-1+13^(1/2)),-2*(x-1)^2/(1+13^(1/2)))],
[x^4/(1-x)^(1/2),x,2,-2*(1-x)^(1/2)+8/3*(1-x)^(3/2)-12/5*(1-x)^(5/2)+8/7*(1-x)^(7/2)-2/9*(1-x)^(9/2)],
[sin(1/(x^n)),x,3,1/2*I*x*(-Ei(1+1/n,-I/(x^n))+Ei(1+1/n,I/(x^n)))/n],
[-1/2*x+1/2*(-3*x^2+4)^(1/2),x,4,-1/4*x^2+1/4*x*(-3*x^2+4)^(1/2)+1/3*arcsin(1/2*x*3^(1/2))*3^(1/2)],
[(x^4-3*x^2+1)^n,x,3,x*(x^4-3*x^2+1)^n*AppellF1(1/2,-n,-n,3/2,2*x^2/(3-5^(1/2)),2*x^2/(3+5^(1/2)))/((1-2*x^2/(3-5^(1/2)))^n)/((1-2*x^2/(3+5^(1/2)))^n)],
[x*(exp(-x)+1)/(exp(x)-1),x,8,exp(-x)+x/exp(x)-x^2+2*x*ln(1-exp(x))+2*polylog(2,exp(x))],
[x^4*exp(-x)*sin(x),x,0,1/2*(-(-6+x^2*(6+x*(4+x)))*cos(x)+(6+x*(-x^3+6*x+12))*sin(x))/exp(x)],
[((x^3-3*x)^3-3*x^3+9*x)/(x^2-4)^(1/2),x,4,(x^2-4)^(1/2)+10/3*(x^2-4)^(3/2)+3*(x^2-4)^(5/2)+(x^2-4)^(7/2)+1/9*(x^2-4)^(9/2)],
[1/(x^2+1)^3,x,3,1/4*x/(x^2+1)^2+3*x/(8*x^2+8)+3/8*arctan(x)],
[ln(3^(1/2)+tan(x)),x,0,-1/2*I*((ln((I-tan(x))/(3^(1/2)+I))-ln((I+tan(x))/(I-3^(1/2))))*ln(3^(1/2)+tan(x))-polylog(2,(3^(1/2)+tan(x))/(-I+3^(1/2)))+polylog(2,(3^(1/2)+tan(x))/(3^(1/2)+I)))],
[((sin(20*x)+3*sin(21*x)+sin(22*x))^2+(cos(20*x)+3*cos(21*x)+cos(22*x))^2)^(1/2),x,0,2*(3+2*cos(x))*(3*arctan(tan(1/2*x))+sin(x))/((3+2*cos(x))^2)^(1/2)],
[exp(-2*x)*sin(3*x)/x,x,0,1/2*I*(Ei((-2-3*I)*x)-Ei((-2+3*I)*x))],
[x^(1/3)*(1-x)^(2/3),x,3,1/6*x^(1/3)*(1-x)^(2/3)-1/2*(1-x)^(5/3)*x^(1/3)-1/9*arctan(-1/3*3^(1/2)+2/3*(1-x)^(1/3)*3^(1/2)/x^(1/3))*3^(1/2)+1/6*ln(1+(1-x)^(1/3)/x^(1/3))+1/18*ln(x)],
[x^(1/ln(x)),x,1,exp(1)*x],
[sech(x),x,1,arctan(sinh(x))],
[exp(x)/(1+exp(x))/ln(1+exp(x)),x,4,ln(ln(1+exp(x)))],
[(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1),x,2,x+1/3*x^3+1/5*x^5+1/7*x^7+1/9*x^9],
[1/120*(-4+x)*(-3+x)*(x-2)*(x-1)*x,x,3,1/10*x^2-5/36*x^3+7/96*x^4-1/60*x^5+1/720*x^6],
[x+sin(x)+x*cos(x)+cos(x)*sin(x),x,6,1/2*(x+sin(x))^2],
[sin(x)^2+cos(x)^2+tan(x)^2+cot(x)^2+sec(x)^2+csc(x)^2,x,13,-x-2*cot(x)+2*tan(x)],
[(1+2*ln(x))*exp(ln(x)^2),x,1,x*exp(ln(x)^2)],
[(1-x)^3+(-x^2+x)^3+(x^2-1)^3-3*(1-x)*(-x^2+x)*(x^2-1),x,1,0],
[sin(x)^6+cos(x)^6+3*sin(x)^2*cos(x)^2,x,0,x],
[(x+exp(1)+1)*x^exp(1)*exp(x),x,1,exp(x)*x^(1+exp(1))],
[x^2/(-x^2+2)+2^(1/2)*(x/(x+1))^(1/2),x,7,-x+2^(1/2)*x^(1/2)*(x+1)^(1/2)-2^(1/2)*arcsinh(x^(1/2))+2^(1/2)*arctanh(1/2*2^(1/2)*x)],
[(2*x^2022+1)/(x^2023+x),x,4,ln(x)+1/2022*ln(x^2022+1)],
[3*sin(20*x)*cos(23*x)+20*sin(43*x),x,3,sin(20*x)*sin(23*x)],
[sin(x)/(2*exp(x)+cos(x)+sin(x)),x,0,1/2*x-1/2*ln(2*exp(x)+cos(x)+sin(x))],
[ln(x/Pi)/(ln(x)^ln(Pi*exp(1))),x,0,x/(ln(x)^ln(Pi))],
[x^5+5*x^4+10*x^3+8*x^2+x,x,1,1/2*x^2+8/3*x^3+5/2*x^4+x^5+1/6*x^6],
[(x+1)/(2+x)/(x+3)*(4+x),x,2,x-2*ln(2+x)+2*ln(x+3)],
[x*cot(x),x,4,-1/2*I*x^2+x*ln(1-exp(2*I*x))-1/2*I*polylog(2,exp(2*I*x))],
[exp(x+1/x)*(x^6+x^4-x^2-1)/x^4,x,0,exp(x+1/x)*(4+1/x^2-2/x-2*x+x^2)],
[1/((x+1)^3*(x-1))^(1/2),x,2,-(1-x)*(x+1)/(-(1-x)*(x+1)^3)^(1/2)],
[x*sin(x)^4,x,3,3/16*x^2-3/8*x*cos(x)*sin(x)+3/16*sin(x)^2-1/4*x*cos(x)*sin(x)^3+1/16*sin(x)^4],
[sin(2*x)*cos(3*x)/sin(x)^2/cos(x)^3,x,4,6*ln(cos(x))+2*ln(sin(x))],
[2^(1/2)*ln(x)^(1/2)+1/2*2^(1/2)/ln(x)^(1/2),x,8,2^(1/2)*x*ln(x)^(1/2)],
[ln(cos(x))/cos(x)^2,x,3,-x+tan(x)+ln(cos(x))*tan(x)],
[(1/(x-1)^2+3/(-3+x)^4+5/(x-5)^6)/(1+1/(x-1)+1/(-3+x)^3+1/(x-5)^5)^2,x,2,1/(1+1/(x-1)+1/(-3+x)^3+1/(x-5)^5)],
[sin(23*x)/sin(x),x,0,x+sin(2*x)+1/2*sin(4*x)+1/3*sin(6*x)+1/4*sin(8*x)+1/5*sin(10*x)+1/6*sin(12*x)+1/7*sin(14*x)+1/8*sin(16*x)+1/9*sin(18*x)+1/10*sin(20*x)+1/11*sin(22*x)],
[x^4*(1-x)^2/(x^2+1),x,3,x^2-1/2*x^4+1/5*x^5-ln(x^2+1)],
[x^(-ln(x)),x,0,1/2*exp(1/4)*Pi^(1/2)*erf(-1/2+ln(x))],
[(1-2*x)/(x+1)^2/x^(2/3),x,1,3*x^(1/3)/(x+1)],
[cos(1/2*Pi*x^2*2^(1/2))^2,x,3,1/2*x+1/4*FresnelC(2^(3/4)*x)*2^(1/4)],
[1/(1+cos(x)+sin(x)),x,2,ln(1+tan(1/2*x))],
[tan(x)^5,x,3,-ln(cos(x))-1/2*tan(x)^2+1/4*tan(x)^4],
[(1+1/x)^(1/2),x,4,(1+1/x)^(1/2)*x+arctanh((1+1/x)^(1/2))],
[exp(cos(x))*cos(2*x+sin(x)),x,0,2*exp(cos(x))*cos(1/2*x+sin(x))*sin(1/2*x)],
[(3*ln(x)-1+2*x)/(x*ln(x)+x^2+2*x^4),x,3,3*ln(x)-ln(x+2*x^3+ln(x))],
[((x+1)^(1/2)-x^(1/2))^Pi,x,0,-2*((x+1)^(1/2)-x^(1/2))^Pi*(1+2*x+Pi*x^(1/2)*(x+1)^(1/2))/(Pi^2-4)],
[(((x^2-2)^2-2)^2-2)^2-2,x,3,2*x-64/3*x^3+336/5*x^5-96*x^7+220/3*x^9-32*x^11+8*x^13-16/15*x^15+1/17*x^17],
[sin(4*arctan(x)),x,0,-4/(x^2+1)-2*ln(x^2+1)],
[tan(x)^(1/3)/(cos(x)+sin(x))^2,x,8,-1/3*arctan(1/3*(1-2*tan(x)^(1/3))*3^(1/2))*3^(1/2)+1/2*ln(1+tan(x)^(1/3))-1/6*ln(1+tan(x))-tan(x)^(1/3)/(1+tan(x))],
[sin(2*x)^2*sin(3*x)^2*sin(5*x)^2*sin(30*x)^2/sin(x)^2/sin(6*x)^2/sin(10*x)^2/sin(15*x)^2,x,0,7*x+4*sin(2*x)-1/2*sin(4*x)-4/3*sin(6*x)-sin(8*x)-2/5*sin(10*x)+1/6*sin(12*x)+2/7*sin(14*x)+1/8*sin(16*x)],
[(1+x^2+(x^4+x^2+1)^(1/2))^(1/2),x,0,1/4*x*(5+x^2+5*(x^4+x^2+1)^(1/2))/(1-x^2+(x^4+x^2+1)^(1/2))/(1+x^2+(x^4+x^2+1)^(1/2))^(1/2)+3/8*2^(1/2)*arctanh(2^(1/2)*x/(1+x^2+(x^4+x^2+1)^(1/2))^(1/2))],
[x^9/(x^20-48*x^10+575),x,3,-1/20*ln(-x^10+23)+1/20*ln(-x^10+25)]]:
