CUET Preparation Today
Find the integral: $\int \text{cosec } x (\text{cosec } x + \cot x) \, dx$ |
$\cot x + \text{cosec } x + C$ $-\text{cosec }^2 x - \cot^2 x + C$ $-\cot x - \text{cosec } x + C$ $\tan x + \sec x + C$ |
$-\cot x - \text{cosec } x + C$ |
The correct answer is Option (3) → $-\cot x - \text{cosec } x + C$ We have $\int\text{cosec } x (\text{cosec }x + \cot x) \, dx = \int \text{cosec }^2 x \, dx + \int \text{cosec }x \cot x \, dx$ $= -\cot x - \text{cosec }x + C$ |
