# Thread: Length of curve problem

1. ## Length of curve problem

To find the length of the curve defined by
from the point (-2,10) to the point (1,13), you'd have to compute
W

here a= , b= and f(x)=
So I know the arc length formula and I did that to get

f(x)= sqrt(1+(4/25)x^10+(44/10)x^7+(121/4)x^4) and a=-2, b=1

but that answer is wrong. I am really stuck.. I even searched the forum and looked in my calculus book but still do not know how to do this.. help?

2. ## Re: Length of curve problem

$y = 2x^4 + 11x$

$y' = 8x^3 + 11$

$(y')^2 = 64x^6 + 176x^3 + 121$

$L = \int_{-2}^1 \sqrt{1 + (y')^2} \, dx \approx 41.555$

3. ## Re: Length of curve problem

Thanks! It was way easier than I thought, I get it now.

### to find the length of the curve defined by

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