" Determine whether "int_(-oo)^( oo)(1)/(x^(2)+1)dx" converges? "

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int_(-oo)^(oo)(1)/(1+x^2) dx

int_(0)^(oo)((1)/(x^(2)+1))dx

I=int_(-oo)^(1)(1)/(x^(2))dx

int_(1)^(oo)(dx)/(x^(2))

int_(1)^( oo)(1)/(x)dx=

int_(0)^(oo)(1)/(3+x^(2))dx

int_(3)^(oo)(3)/(x^(2)-1)dx

int_(1)^(oo) (1)/(1+x^(2)) dx =

int_(0)^(oo)(1)/(x+a)dx

int_(0)^(oo)(logx)/(1+x^(2))dx=