Integrate arctan(y) dx

  • #1

lolallday

1
0
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?

[tex]\int[/tex] tan-1(y) dx

Thank you.
 
  • #2
If I'm not mistaken, it should just be tan-1(y) * x
 
  • #3
welcome to pf!

hi lolallday! welcome to pf! :wink:

i agree with m1ke_ :smile: …

a function of y does not depend on x, so it integrates (and differentiates) as a constant
 
  • #4
m1ke_ said:
If I'm not mistaken, it should just be tan-1(y) * x

+ C :tongue:
 

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