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# Sketch the region enclosed by the given curves and calculate its area.$y = \sqrt{x}$, $y = 0$, $x = 4$

## $$\frac{16}{3}$$

Integrals

Integration

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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### Video Transcript

okay, sketching squirt of acts. And we also have the line X equals four. This is squirt of acts. This will say is X equals four. This is the shaded region. Okay, Now that we have this, we know the area is scarred of acts which is easier, right? As acts to the 1/2 so we can see the exponent. Remember? When did you intervals increase the explain it by one and you divide. But in your experience is just easier to see that if we can actually see an expert on our Venice Where route we're plugging in, we end up with 16. Divide by three.

#### Topics

Integrals

Integration

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp