Limit of the integral in the anti-transform

1. How do you find the limit of an integral?
2. What are the limits of an integral called?
3. Can we interchange limits of integral?
4. What are the limits of integration A and B?

How do you find the limit of an integral?

The formula for limits of integration is ∫abf(x). dx=[F(x)]ab=F(a)−F(b) ∫ b a f ( x ) . d x = [ F ( x ) ] b a = F ( a ) − F ( b ) . Here the integral of the function f(x) is taken to obtain the antiderivative function F(x).

What are the limits of an integral called?

The function f( x) is called the integrand, and the variable x is the variable of integration. The numbers a and b are called the limits of integration with a referred to as the lower limit of integration while b is referred to as the upper limit of integration.

Can we interchange limits of integral?

The study of interchange of limit operation is one of the major concepts in Mathematical Analysis. Taking the limit inside the integral is not always allowed. There are several theorems that allow us to do so. The major ones being Lebesgue dominated convergence theorems that allow us to do so.

What are the limits of integration A and B?

the limits of integration are a and ∞, or −∞ and b, respectively.