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Message: <blockquote data-quote="CherryB" data-source="post: 1657318" data-attributes="member: 477112">When I integrate int (-infinity to 5) 1/(x^2+1)dx by using the limit as t --> -infinity of int (t to 5) 1/(x^2+1)dx, I get negative infinity, which means it is DIVERGENT. (antiderivative of 1/(x^2+1) is arctan x, right? and since arctan t as t--> -infinity is -infinity, I get divergent)But the answer gives a numerical value for the answer, which means it is convergent... why?</blockquote>