Question

What is \[\int\cot t\,dt\] in the evaluation of \[\int\frac{\sin x}{\sin(x+a)}\,dx\]?

Options

• \[\log|\sin t|+C_1\]

• \[\log|\cos t|+C_1\]

• \[-\log|\sin t|+C_1\]

• \[\tan t+C_1\]

Answer 1

The antiderivative of \[\cot t\] is \[\log|\sin t|\]. An arbitrary constant may be denoted by \[C_1\].