00:03
We want to graph these functions and find the area between their curves.
00:10
So here's the graph of the two functions.
00:13
We're looking for the area of this region in here.
00:16
We're asked to approximately find the area.
00:19
So we can see that the blue linear function is greater than this x to the fourth function from x is negative 1 .493 all the way up to x's positive 1 .75.
00:35
So we're going to integrate, we're going to make a definite integral, integrate with respect to the x -axis between these two x values, negative 1 .493 and 1 .75.
00:48
So negative 1 .493, negative 1 .493.
01:13
And that's going to go up to x's 1 .785.
01:18
Now, when you find the area between two curves, you take the greater function and subtract the lesser function.
01:34
So the linear minus the x to the fourth function.
01:40
So the linear function, x plus 2, subtract the lesser function, x to the fourth, minus 2x squared.
02:08
All right, so our area is going to equal the integral from negative 1 .493 to 1 .785.
02:29
And let's clean this up a little bit.
02:31
Let's try to write these terms in descending order...