restart; f:=int(sqrt(tan(x)),x); g:=diff(f,x); h:=sqrt(tan(x)); plot(h,x=0..Pi/2,y=0..5); plot(h,x=0..3*Pi/2,y=0..5); plot(g,x=0..3*Pi/2,y=0..5); simplify(g); plot(1+h-g,x=0..Pi/3,y=-5..5); simplify(h-g); f2:=int(exp(x)/arctan(x),x); diff(f2,x); f3:=int(exp(x)/arctan(x),x=1..t); diff(f3,t); plot(exp(x)/arctan(x),x=1..2); A2:=int(exp(x)/arctan(x),x=1..2); evalf(A2); Digits:=50; evalf(A2); Digits:=10; int(1/sqrt(1+x^2),x); A3:=int(1/sqrt(1+x^2),x=0..5); evalf(A3);