How do you evaluate 1x2+y2?

1 Answer
Mar 3, 2017

dxx2+y2=1yarctan(xy)+C

Explanation:

You should really specify which is the variable of integration. However, as the expression is symmetric in x and y, it makes little difference:

dxx2+y2=1yd(xy)1+(xy)2=1yarctan(xy)+C

and of course:

dyx2+y2=1xarctan(yx)+C