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Find the coordinates of the centroids of the given figures. Each region is covered by a thin, flat plate. The region bounded by $y=x^{3}, x=2,$ and the $x$ -axis

Calculus 2 / BC

Chapter 26

Applications of Integration

Section 4

Centroids

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Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

00:54

Find the given area.Th…

06:57

Find the exact area of the…

04:53

Use any method (including…

01:32

Find the area of the regio…

02:45

02:29

02:52

Finding the Area of a Regi…

06:52

Use a graph to find approx…

03:27

05:50

for this question. They want us to compute the area of the region bounded by. Why is it quits? X Cube X is equal to three in the X axis. All of you know about this cube function that's gonna keep increasing above zero. And that's why they chose to cut off. Had a vertical line. Three. So to compute this, they give us above the X axis. So he just computer as the area of the integral from zero degree of X cubed DX. Well, unless he was the funds Months knows the arm of calculus. We'll end up with anti derivative X for over four, evaluated at three and zero. But if we evaluate at zero, we're just gonna get zero. The only endpoint we care about the evaluation of his three. It's the 1st 1 to be positive, and we'll have three to the fourth over. Four. Well, that's just 81 over for awesome. That's the area in the region specified

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