Introduction: In this solution, we have explained what is convergence of the integral example 1. We will test the convergence of the integral 0 to a 1/(sqrt(a-x)dx.Qestion : Examine the convergence of the integral\int_{0}^{a}\frac{dx}{\sqrt{a-x}}
Solution :Let I=\int_{0}^{a}\frac{dx}{\sqrt{a-x}}
Since integrand here…