Question

Question about integrating tanx

Answer 1

If we integrate tan x from 0 to pi/2,

we get ln(sec(pi/2)) - ln(sec(0))

sec 0 = 0

ln 0 does not exist though.
Do we just ignore this and say it's equal to ln(sec(pi/2))?

Answer 2

\[\cos 0 = 1/1 \Rightarrow \sec 0 = 1/1 = 1\]