Question

Evaluate \[\int \text{cosec}^2 x\,dx\]

Options

• \[-\cot x+\mathrm{C}\]

• \[\cot x+\mathrm{C}\]

• \[\sec x+\mathrm{C}\]

• \[-\text{cosec} x+\mathrm{C}\]

Answer 1

The derivative of \(-\cot x\) is \(\text{cosec}^2 x\). Therefore, \(\int \text{cosec}^2 x\,dx=-\cot x+\mathrm{C}\).