(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find $$\int_{C} \frac{ds}{(2y^2+1)^{3/2}}$$

where $$C$$ is the parabola $$ z^2=x^2+y^2 , x+z=1$$

2. Relevant equations

3. The attempt at a solution

I tried to parametrize the C , s.t$$ x=t, z=1-t, y=\sqrt{2t-1}$$ ,

but it seems to become a mess, and I don't know the bound of t,

and I tried to let$$ x=sin^2ω , z=cos^2ω , y = \sqrt{cos^2ω-sin^2ω}$$

Is $$ω $$from 0 to $$2\pi$$? , but it seems to not easy to compute it.

So I want to know is there any nice method for that Q.?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Path integral

**Physics Forums | Science Articles, Homework Help, Discussion**