Question

Consider this formula

7. Consider this formula lim 2 = 1 f(x;)Ax. This is the definition of the NYD DX = uges n It number of to approximate the area under the function, and then lets the number of these go to to become the exact

Answer 1

Consider the formula

$\lim_{n \to \infty} \sum_{i=1}^{i=n} f(x_{i} ) \Delta x.$

This is the definition of the Riemann integral of the function f(x) on the interval [a,b] and

$\Delta x= \frac{b-a}{n}.$.

It uses n number of rectangles / partitions/ subintervals to approximate the area under the function and then let the number of these go to infinity to become the exact area under the function.