Problem

Use a graphing utility, where helpful, to find th…

01:49

Problem 22 Easy Difficulty

Use a graphing utility, where helpful, to find the area of the region enclosed by the curves.
$$
y=x^{3}-4 x, y=0
$$

Answer

$$
8
$$

Related Courses

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Chapter 6

APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY, SCIENCE, AND ENGINEERING

Section 1

Area Between Two Curves

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Video Transcript

since we're allowed to use a graphing calculator, I'm just gonna do this. Um, so one option that you could do it is go from the general from negative 2 to 0 because that's where the grass intersecting you do. You know, excuse minus four X, um, and find the integral that way, and then I would actually could do is because this is an odd function. You could just double that answer because, uh, we want you show you a different way of doing this is you could just do the absolute value. And if you do, the absolute value has what showing up in green. It just takes everything that was a negative value. Makes it above the X axis, Makes it positive. So anything that's below flips up and to be a positive um, So basically what I'm boiling it down for you is you can I just hit the integral from negative to to to of perhaps a value function and nothing will cancel out and you'll get the exact answer of eight. Um, the other option is telling you to dio is you could just do the role. Or was that the general from negative 2 to 0 of this function. Um, looks and he's You do have to tell the calculator. And what I would actually use this right to in front to double that area. Eso I gave you a couple options? Uh, definitely would encourage you to work this out by hand. I think we also did this problem in an earlier example. Um, that I would encourage you to look at that in the previous videos. Well, if you want to work it out by hand,

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