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Find the length of the curve $y=\frac{x^{2}}{4}$ over $[0,8]$

18.587

Calculus 1 / AB

Calculus 2 / BC

Chapter 3

Techniques of Integration

Section 5

Other Strategies for Integration

Integration

Integration Techniques

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So in this question, we know that since the arc length of the portion of the graph of back to backs on our interval, 80 is gonna be given by. So they are. I'm just gonna be given by this, and I will. So this is basically the formula we're gonna be using. And it's an axe squared on the D. X on the end. So this is not for me either. We're gonna be using. And now we started playing when we know we know that our maybe you're gonna be zero in eight. You know that from a question. And then we have one plus x squared over four. And then this is Times GX. Uh huh. So now, um, I want to be paid. Sure. We can make this for you. Want half? There will be 80 times swearing a four last ax squared times, dear. And next we're gonna make this be you want, huh? Times X over too. I was a swear word for a pleasant experience. Plus, for over two years, which we spent two not full log of axe, plus no. In the square root of four. What's expert expert? Remember that is a dancer. Final beige. Um, Now we're just gonna play in our exercise, so we have 1/2 times over. Dude, I'm just a spare room. Four. It's gonna be This would be a square. So 64 lost to natural log of axe plastic. That the same thing that we had for four, But it's weird. So we understand. For 64 mice, 1/2 this is too now on to one of two on two. All right, so now we could just point this big thing of torque on Twitter. Think this, like, 68. This would just be on too. And we get 18.5 87 is our final answer, This question.

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