Question

How do you find the arc length of the curve `y = 2 − x^2` from [0,1]?

Answer 1

It is given by the integral `L=int_0^1sqrt(1+(dy/dx)^2)dx`

Hence `dy/dx=-2x` we have that

`L=int_0^1sqrt(1+4x^2)dx`

Explanation:

For the calculation of the integral see below