Find the integral from 0 to tan(x) of dt/1+t2. Which of the following options represents the correct solution?

A) ∫[0, tan(x)] dt/(1+t2)
B) ∫[0, tan(x)] dt/(1+t2) + C
C) ∫[0, tan(x)] dt/(1+t2) + ln|tan(x)| + C
D) ∫[0, tan(x)] dt/(1+t2) + ln|sec(x)| + C