# Integrate arctan(y) dx

## Main Question or Discussion Point

Hi,

Part of solving a differential equation involves integrating M(x,y) with respect to x, where M(x,y) = x + tan-1(y). What are the steps to integrating the arctan portion?

$$\int$$ tan-1(y) dx

Thank you.

If I'm not mistaken, it should just be tan-1(y) * x

tiny-tim
Homework Helper
welcome to pf!

hi lolallday! welcome to pf!

i agree with m1ke_

a function of y does not depend on x, so it integrates (and differentiates) as a constant

If I'm not mistaken, it should just be tan-1(y) * x
+ C :tongue: