please help me solve the following antiderivative 1/(cosxcotx)
I integragirl New member Joined Apr 13, 2006 Messages 19 May 4, 2006 #1 please help me solve the following antiderivative 1/(cosxcotx)
D daon Senior Member Joined Jan 27, 2006 Messages 1,284 May 4, 2006 #2 integragirl said: please help me solve the following antiderivative 1/(cosxcotx) Click to expand... \(\displaystyle \frac{1}{cosx \cdot cotx} = \frac{cosx}{cosx \cdot sinx} = \frac{1}{sinx} = cscx\)
integragirl said: please help me solve the following antiderivative 1/(cosxcotx) Click to expand... \(\displaystyle \frac{1}{cosx \cdot cotx} = \frac{cosx}{cosx \cdot sinx} = \frac{1}{sinx} = cscx\)
S soroban Elite Member Joined Jan 28, 2005 Messages 5,586 May 4, 2006 #3 Hello, integragirl! \(\displaystyle \L\int \frac{1}{\cos x\cot x}\,dx \;= \;\int\frac{1}{\cos x}\cdot\frac{1}{\cot x}\,dx\;=\; \int\sec x\tan x\,dx\)
Hello, integragirl! \(\displaystyle \L\int \frac{1}{\cos x\cot x}\,dx \;= \;\int\frac{1}{\cos x}\cdot\frac{1}{\cot x}\,dx\;=\; \int\sec x\tan x\,dx\)