# solving definate integrals

• March 29th 2009, 10:24 AM
polymerase
solving definate integrals
Suppose i solved the integral (correctly) and i get as my answer $\arctan({\tan{x}})$ and i want the area from 0 to $\pi$...how do I solve that, what do i do to get around the 0-0??

thanks
• March 29th 2009, 10:41 AM
Soroban
Hello, polymerase!

Note that: . $\arctan(\tan x) \:=\:x$

Also that: . $\arctan 0 \:=\:0,\:\pm\pi,\:\pm2\pi,\:\hdots$

What was the original integral?
It must have been equivalent to: . $\int 1\,dx$