# closed integration

• Nov 12th 2012, 08:15 PM
prasum
closed integration
evaluate Attachment 25684

i have used directional derivate of f and used the fundamental theorem of line integrals

is it right
• Nov 12th 2012, 08:58 PM
chiro
Re: closed integration
Hey prasum.

use \int f dr = \int f(c(t))c'(t) dt where c is the parametric representation of the curve you are integrating over. So in this case $c(t) = <\sqrt(1-t^2), t>$