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If I=int(sqrt(cotx)-sqrt(tanx))dx, then ...

If `I=int(sqrt(cotx)-sqrt(tanx))dx,` then `I` equals

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To solve the integral \( I = \int (\sqrt{\cot x} - \sqrt{\tan x}) \, dx \), we will follow these steps: ### Step 1: Rewrite the integrand We start by rewriting the integrand in terms of sine and cosine: \[ \cot x = \frac{\cos x}{\sin x} \quad \text{and} \quad \tan x = \frac{\sin x}{\cos x} \] Thus, we have: ...
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