Evaluate : (i) `int(dx)/(asinx+bcosx)` (ii) `int(dx)/(sinx+cosx)`

Explanation

To evaluate the integrals given in the question, we will follow a systematic approach for each part.

### Part (i): Evaluate \(\int \frac{dx}{A \sin x + B \cos x}\)

1. **Substitution**: We can express \(A\) and \(B\) in terms of \(R\) and \(\theta\):
\[ A = R \cos \theta, \quad B = R \sin \theta \]
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