Find the following integrals:(i) `int(sinx+cosx)dx` (ii) `intcosecx(cosecx+cosx)dx`(iii) `int(1-sinx)/(cos^2x)dx`

Explanation

Let's solve the given integrals step by step.

### Part (i): Find \(\int (\sin x + \cos x) \, dx\)

1. **Apply the linearity of integration**:
\[ \int (\sin x + \cos x) \, dx = \int \sin x \, dx + \int \cos x \, dx \]
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