Intergals, help
hi guys I am a third year math student, and one of the classes I am taking this semester is scientific computing, we have an integral sin(x)/(1+x^2)^2 which is integrated from one to infinity, which we are meant to solve numerically using matlab, now the matlab is no problem, however I am meant to transform it into a finite interval by using substitution with u = 1(1 +x^2) and I am stumped, anyone got any ideas?
edited to add: I know it could be done if I had xsin(x)/(1+x^2)^2 as it would give u^2*sin(u^-1 - 1)
edit again: I can get [x*sin(x)/(1 +x^2) + cos(x)] from one to infinity, + intergal( (cos(x)*x/ cos(x)^2 )(2(1+ x^2))) but I can't get past that point.
edited to add: I know it could be done if I had xsin(x)/(1+x^2)^2 as it would give u^2*sin(u^-1 - 1)
edit again: I can get [x*sin(x)/(1 +x^2) + cos(x)] from one to infinity, + intergal( (cos(x)*x/ cos(x)^2 )(2(1+ x^2))) but I can't get past that point.