# Thread: solving arc lenggth of an exp eqn

1. ## solving arc lenggth of an exp eqn

how do you find the arc length for
y = a/2 ( exp (a/2) + exp(-a/2)) from x=0 to x=a?

i got stuck at solving the

integration ( 1/2 +1/4 exp(2x/a) + 1/4 exp( -2x/a) )^(1/2)..

2. Originally Posted by alexandrabel90
how do you find the arc length for
y = a/2 ( exp (a/2) + exp(-a/2)) from x=0 to x=a? Mr F says: Where are the x's meant to be in your rule for y? And why is it a/2 here and 2/a in your expression below?

i got stuck at solving the

integration ( 1/2 +1/4 exp(2x/a) + 1/4 exp( -2x/a) )^(1/2)..
Note that $2 + e^{2x/a} + e^{-2x/a} = \left( e^{x/a} + e^{-x/a}\right)^2$.