Question

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

विकल्प

• \[-\text{cosec} x+\mathrm{C}\]

• \[\text{cosec} x+\mathrm{C}\]

• \[-\cot x+\mathrm{C}\]

• \[\sec x+\mathrm{C}\]

Answer 1

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