Question

What is the integral:

Answer 1

\[\Large \int\limits \frac{dx}{\sqrt{1-x^2}}\] Show your work. =)

Answer 2

i would have started it by trying
\(\large x = \sin u\)

Answer 3

dx = cos u du

\(\Large \int \dfrac{\cos u du }{\cos u}\)

Answer 4

ugh, can't get any easier :P

Answer 5

\(\int 1 du = u +c= \sin^{-1}x +c\)

Answer 6

Wait, here's where my issue comes in: \[\Large \int\limits \frac{\cos \theta}{|\cos \theta|} d \theta = \int\limits SquareWave(\theta) d \theta\]

Answer 7

Maybe there's really no problem hmmm. Oh well lol.

Answer 8

Yeah never mind false alarm I guess I thought for some reason this would get us different answers but we can't unless we let x be complex.