1. The problem statement, all variables and given/known data ∫ a= 2 b = ∞ (dv)/(v^2+7v-8) 2. Relevant equations I have attempted the problem and am confused as to why the integral is not divergent. 3. The attempt at a solution I integrated the function by using partial fractions and came up with a result of: -1/9ln(v+8)+1/9ln(v-1) I replaced 'b' limit of integration with 't' and solved for the limit of the function as 't' approaches infinity… lim t→∞ -1/9[ln(v+8)-ln(v-1)] with limits of integration, b =t and a = 2 However when finding the limit, I realize that when substituting ∞ for 'v' I am left with the following result: -1/9[ln(∞+8)-ln(∞-1)] ln(∞) is equal to ∞, and ∞-∞ is equal to ∞. Therefore there is no limit for the function ∫ a= 2 b = ∞ (dv)/(v^2+7v-8) and it is divergent. This is not the case though, and the function convergent. Where is my mistake occurring?