Calculate $\int_0^1\int_x^1$ $1\over 1+x^2$ dy dx
According to the book, integrating this directly would not be practical because I would have to use arctan and a calculator. It reverses the order of integration and switches the limits instead.
$\int_0^1\int_0^y$ $1\over 1+x^2$ dx dy
When I tried solving this, I ignored the function and just looked at the limits of integration. I graphed y=x and then shaded in the upper region from y=(0,1). Then I changed the equation from y=x to x=y and then moved the limits like that. Is this the correct way to do it?