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Using a calculator, find the length of an arc of the graph of y = x? from x=Oto x =3....

Question

Using a calculator, find the length of an arc of the graph of y = x? from x=Oto x =3.

Using a calculator, find the length of an arc of the graph of y = x? from x=Oto x =3.



Answers

Find the arc length of the graph of $y=\ln (\cos x)$ from $x=0$ to $x=\pi / 3$.

I have four x. Equal to squared of X. F of X equal to described off X cube. So here we have to find the ark of land of the graph of the function from X equal to see you do Ax equal to two. So here four E less than to be the art land off the car. What it will do F of X from acts equal to a do X equal to be is our plan equal to definite integral of squared off one plus is quite off. Did anybody of F of X. D X from A to B. So, first of all, we find the derivative of F of facts. So here there you go. Half of X equal to D X. To the power 3.2 upon D X. So here we apply power differentiation. So here we get three. A point to time. Acts to the power one up on two. No, we put that value here in Auckland formula. So here we get definite intrigue of square it off one plus X. To the power one upon two to the power do dx from 0 to 2. So now here we get definitely intrigued off. It's carried off one plus three Upon to time acts to the power one upon to to the whole power to dx from 0-2. So now we simplify this. So here we get definite intrigue. A lot of squared off one plus 9.4 Time x. d. x from 0 to 2. Now here we use mhm integration by substitution. So here we have to put one Plus 9.4 time X equal to T. So here we have to differentiate both sides with respect to act. So here we get 9.4 time D. X equal to D. T. So here 4.9 time D. T equal to dx. And here you can see that limit will be changed in D. So here to equal to one when X equal to zero two equal to 11.2. So now after separation here we get definitely intrigued all of square ot time 4.9 D. D. From 12 11 upon to. So now here we have to and find the antidote video of square T. Is two upon 3 time due to the power 3.2 from 12 11 upon two. So now You can see that here upper value is 11.2. So I put here it equal to 11.2. So here we get eight upon 27 times 11.2 to the power 3.2 negative. Now you can see that lower value is one so we put here to equal to one. So here we get one. So now we simplify this and here we get three point 5-6. So here we can see Auckland is 3.5-6, it is over. Final answer.

So we have y equals 23 x plus one. We'll know that the relative off white with respect to X equals two three. So as here, just equal to the integration from 0 to 3 one last night. The X, which equals two the square rules off 10 times three minor zero, which equals 23 times the square rules off 10.

Here. Debate the executive three by two indoor to indoor wrote texts, which is equal to three robotics. Different shade. A TV by the ex, the whole square plus one, which is a core too. Nine. Explicit one choir on that, unless you kowtow because there are 29 wrote off nine X plus one. Biggs. If we degrade, we get a week or two 9. 27 Hindu nine X plus one. Order the power three by two From 0 to 9 it is 54.929 Thank you.

So here we're getting the formula. Why? And we want to know the Oakland's off. Why, over the intro Watch history, then the call The formula for our clans as as equals two didn't go here is from 2 1 to 3 and protect the village off one house directive off wise Group D. X. So here's a direct of why it's actually only cactus tree. So we get one does divert off by skirt because to one plus nine, because to 10 who that we have as just equal to dangerous from 1 to 3 and square root of 10 d x. Since this is a square bit off turn axe Didn't girl from 1 to 3 rich yells knocked have tone become streaming this one which is to times Square root. This is the answer for this property


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