The discussion revolves around solving the equation NIntegrate[f[x],{x,a,b}]==1, specifically finding values for a and b such that the integral of the function f over the interval [a, b] equals 1. Participants express skepticism about the feasibility of this task, noting that for a given function f, there could be an infinite number of (a, b) pairs that satisfy the equation. Constraints are mentioned, indicating that both a and b must be positive and within a specific range. There is a consensus that NIntegrate may not be capable of directly solving for a and b under these conditions. Suggestions are made to provide more detailed code or information about the function f to facilitate assistance, emphasizing the importance of clarity and completeness in the request for help.