Question

What is the limit for lim x -> 2 int x

Answer 1

We are asked in the problem to determine the limit of integral of x  dx as x approaches to 2. In this case, the first step to do is to integrate first the function. The integral of x dx by the power rule is equal to x^(n+1)/n+1. In this case, since n is equal to 1 from the given, then integral of x dx is equal to x^2/2. To evaluate the limit of x as x approaches to 2, we just have to substitute x by 2, that is 
2^2 / 2 equal to 2. Hence the answer to this problem is equal to 2.