Question

Evaluate the integral of cotx dx

Answer 1

\[\int\limits \cot x \: \: \text{d}x \:\: = \log(\sin(x))+ \text{constant}\]

Answer 2

can we do it with natural log

Answer 3

yes : log here is for ln, the natural log.

Answer 4

same?

Answer 5

No,where I live, we use log for natural logarith, and \[\log_b\] for specific base.

Answer 6

So it is in fact \[\int\limits \cot x\:\:\:\text{d}x\:\:\:=\log_e(\sin(x))+constant\]