antiderivative help

integragirl said:
please help me solve the following antiderivative
1/(cosxcotx)

\(\displaystyle \frac{1}{cosx \cdot cotx} = \frac{cosx}{cosx \cdot sinx} = \frac{1}{sinx} = cscx\)
 
Hello, integragirl!

\(\displaystyle \L\int \frac{1}{\cos x\cot x}\,dx \;= \;\int\frac{1}{\cos x}\cdot\frac{1}{\cot x}\,dx\;=\; \int\sec x\tan x\,dx\)
 
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