💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here! # Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.$x = \sqrt{y} - y$, $1 \le y \le 4$

## $L=\int_{1}^{4} \sqrt{1+\left(\frac{1}{2 \sqrt{y}}-1\right)^{2}} d y \approx 3.6095$

#### Topics

Applications of Integration

### Discussion

You must be signed in to discuss.
##### Top Calculus 2 / BC Educators  ##### Catherine R.

Missouri State University  Lectures

Join Bootcamp

### Video Transcript

Hey, it's Claire. So when you right here. So we have X is equal to squirt of wine minus wine. You know why it's between one and four included. So when we take the derivative, we get one over two square root of why minus one. So our art length using our formula get from 1 to 4 square re, uh, by one less one over two square root of why minus one square. Do you, I And this gives us around 3.6 095 #### Topics

Applications of Integration

##### Top Calculus 2 / BC Educators  ##### Catherine R.

Missouri State University  Lectures

Join Bootcamp