Integrating arctan(y) with respect to x

[lolallday]

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.

 

[m1ke_]

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

 

[tiny-tim]

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

 

[TylerH]

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

+ C