Question

I am trying to find the definite integral of ln(tanx)

Answer 1

Hi

Answer 2

Hey

Answer 3

Do we have any answer choices for this one?

Answer 4

No, it is free response. I'm just at a loss with finding the integral

Answer 5

apply d property ∫ f(x) from a to b = ∫ f(a+b-x) from a to b
so it becomes ∫ ln(cotx)dx from 0 to pi/2
now add both the integrals and apply d property
loga + logb = log(ab)
so, you get 2I = 0 ( tanx*cotx = 1)
hence the value of integral is 0

Answer 6

Alright, I get it, I just haven't learned those properties you showed me, thank you!

Answer 7

You're welcome!

Answer 8

Wow, I just check and this is college stuff and I'm only in middle school