# How do you do 2/(1+x^2+y^2) integration?

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#int_0^2int_0^(-x/2+1)2/(1+x^2+y^2)dydx#

##### 1 Answer

Jun 22, 2018

1.2315

#### Explanation:

You evaluate the double integral

by iterated integration, i.e. by first integrating over

We first evaluate

remembering that

To complete, we need to evaluate

This, however, can not be evaluated analytically. It is possible to evaluate this numerically, though, and the value comes out to be

1.2315