- #1

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## Homework Statement

double integral of 2/(2-x^2+y^2) x's from -y to y and y's from 0 to sqrt(2)/2

## The Attempt at a Solution

okay so i first started by using a trig substitution

and can i call a=(2+y^2) my a to simplify things so i get

2/(a-x^2) x=sqrt(a)sin(t)

dx=sqrt(a)cos(t)dt

then we get 2/(sqrt(a)) ln|sec(t)+tan(t)| evaluated from -y to y

then i get 2ln|(y+sqrt(a))(sqrt(a)-y))| after i simplified then I’m not sure what to do here .