What Is the Anti-Derivative of 20/(1+x^2)?

[calculushelp]

anti derive

20/(1+x^(2))

 

[uman]

Do you know the derivatives of the inverse trigonometric functions? If so, do you realize that this is very similar to one of them?

 

[calculushelp]

i'm sorry.. i dont

 

[Defennder]

Take a look at
http://upload.wikimedia.org/math/9/e/d/9edd80ebf3a0beceb4b928fddda4a143.png

 

[Hurkyl]

You really need to be familiar with the common derivatives. You should study them.


That said... if you've learned trigonometric substitution, you should have been able to figure this out without recognizing it.