You are Here: Home >< Maths

# Computing the arc length... watch

1. , with , is a parameterised curve in the plane. Calculate its length. Find the arclength parameter as a function of .
So I got is the length.

Therefore

Is this even integrable? Have I found the length or the arclength? The variation in definition between the two in my notes seems hazy.
2. (Original post by RamocitoMorales)
So I got is the length.

Therefore

Is this even integrable? Have I found the length or the arclength? The variation in definition between the two in my notes seems hazy.
Sec^2 (x) = 1 + tan^2 (x)
3. (Original post by joostan)
Sec^2 (x) = 1 + tan^2 (x)
Ah, thanks. I calculated . Have I answered the question? Are the 'length' and 'arc length' synonymous? Should I change my 'L' for an 's(t)'?
4. Anyone?
5. (Original post by RamocitoMorales)
Ah, thanks. I calculated . Have I answered the question? Are the 'length' and 'arc length' synonymous? Should I change my 'L' for an 's(t)'?
The length of the curve and arc length are synonymous.

For the curve from t=0 to t=pi/2 you will have L=

Not sure why it asks "Find the arclength parameter s as a function of t" at the end, unless that's suggesting how to do it.

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: March 9, 2013
Today on TSR

### He lied about his age

Thought he was 19... really he's 14

### University open days

Wed, 25 Jul '18
2. University of Buckingham
Wed, 25 Jul '18
3. Bournemouth University
Wed, 1 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams