Answer:
As noted in the first section of this section there are two kinds of integrals and to this point we’ve looked at indefinite integrals. It is now time to start thinking about the second kind of integral : Definite Integrals. However, before we do that we’re going to take a look at the Area Problem. The area problem is to definite integrals what the tangent and rate of change problems are to derivatives.
The area problem will give us one of the interpretations of a definite integral and it will lead us to the definition of the definite integral.
To start off we are going to assume that we’ve got a function
that is positive on some interval
. What we want to do is determine the area of the region between the function and the
-axis.
It’s probably easiest to see how we do this with an example. So, let’s determine the area between
. In other words, we want to determine the area of the shaded region below.
Step-by-step explanation:
hope it help
