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So now when we use our fundamental fear of calculus, we're going to be plugging in to the wise, so get three X plus three over too X squared times nine and minus the print the sea we will get. And when we integrate why with respects toe why we get y squared over to and we evaluate from zero to three. Why? Plus now this three x squared is a constant. So this is Ahh constant integrating with respects toe Why we're going to get X. That means exes are going to be considered constants. Now, instead of our x variable being are variable are y is going to be our variable. Okay, so, uh, let's race all of this and ah, our new interior ral from zero two three of X plus three x squared. And now for the second, integral, We're going to the exact same thing, except the only thing that's going to be changing as our bounds and our integration variable. Why? Okay, so that's the first into girl. So, as I was saying, what's left over here is two plus eight. Okay, so this guy will be a zero, and then what's left over here? Oops.
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Okay, So if we plug in to we will get for over two plus why? Times eight minus Well, we'LL get zero over too, Wass. And remember, since we're doing this with respects to acts were only plugging in our upper and are lower and upper bounds into the ex terms. All right, so now it's as simple as using the fundamental theorem of calculus. And how do we integrate three X squared? Will that x cute? We're going to evaluate this whole thing from zero to two. Why here? Because it's a constant because we're integrating with respects Tow X. So we're just going to integrate the three X squared and considered the wire constant. Why? And this one is going to be considered a constant. And the second guy over here is three x squared. So you know, that's going to be X squared over two. Okay, So this first term and Inter Grand X, we're going to integrate Justus. So this means everything else is going to be consider it a constant. Okay, so this is a, uh, ninja girl with respects to DXE. And ah, we want to write what? The function f of x y is as the int'l grant.