Question

find the arc length of f(x)=x^2/2

Answer 1

There is a formula for arc length involving an integral that I don't want to type out. However, you do need to find the derivative of f, which in this case is just x. Then plug into your formula for arc length and chug it through the integral. Fan me if this helps. Thanks :p

Answer 2

i have the formula but i had trouble solving it

Answer 3

oh ok to solve whats in the integral, you need to use trig substitutions. Did you learn trig substitutions in class? So in this case, I would substitute x=secθ

Answer 4

i have to find the derivative first, not the integral

Answer 5

Yeah the derivative is x like i said before

Answer 6

isn't it x/4

Answer 7

Bring down the power, which is 2, and that cancels out with the 2 as the denominator. So you are left with x

Answer 8

this what i did x^2/2--> 2^-1x^2--->4^-1X

Answer 9

2^-1x^2--->4^-1X this is an error. Because 2^-1(2^1)=2

Answer 10

Ooops I mean 1

Answer 11

not 2

Answer 12

When you multiply two numbers with same base, then you add the exponent

Answer 13

that is very tricky lol, i dint even notice it. if i get stuck ill post. please check to c if i need help

Answer 14

Sure. But make sure you fan me

Answer 15

forsure:) im going to do it rightnow

Answer 16

i did it

Answer 17

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