00:01
So in this problem, we're going to use y equals x to the fourth minus 2x squared.
00:13
And then the second equation is simply y equals 2x squared.
00:21
And as i zoom out or i can just scroll up, you can see that that red curve, y equals 2x squared, is above the curve from negative 2 to 2.
00:31
And it's always above that black curve.
00:34
So if you're using for part c, your integral capabilities from your x values, negative 2 to 2, your upper function is that 2x squared, and then your lower function is that quantity of x to the 4th minus 2x squared.
00:52
And notice i'm using parentheses there.
00:55
And as i, what i'd like about this calculators, i can just change it to a fraction to get a perfect answer.
01:03
And what i also like about this is so analytically if you didn't have a graph and calculator we wouldn't know those bounds are negative two and two but you can find those by setting these two equations equal to each other and you'll be able to factor out and see that the x intercepts or where they cross each other would be negative two you would also get zero but then again positive two trying to think of what else but if you're doing this analytically, you would probably just set it up as the integral from negative to 2 to 2, and then go ahead and subtract off.
01:42
So 2x squared minus negative 2x squared, it would actually be 4x squared minus x to the 4th.
01:52
You see you get the same answer as you should if it's actually correct...