Question

Write \( \int \cot{x} \, dx \).

Hint:

To integrate \( \cot{x} \), use the identity \( \cot{x} = \frac{\cos{x}}{\sin{x}} \) and recognize it as the derivative of \( \ln|\sin{x}| \).

Answer 1

The integral of \( \cot{x} \) is: \[ \int \cot{x} \, dx = \ln|\sin{x}| + C \] where \( C \) is the constant of integration.