an improper definite integral, or an improper integral. And we would denote it as 1 is our lower boundary, but we’re just going to keep on going forever as our upper boundary. So our upper boundary is infinity. And we’re taking the integral of 1 over x squared dx.
An improper integral is a type of definite integral in which the integrand is undefined at one or both of the endpoints. Strictly speaking, it is the limit of the definite integral as the interval approaches its desired size. These improper integrals happen when the function is undefined at a specific place or area within the region of integration. For these integrals, we will have to use limits. If the limit exists and is finite, then the integral can be solved.
