Evaluate : (i) `(dx)/(4cosx+3sinx)` (ii) `int(dx)/((2sinx+3cosx)^(2))`

Explanation

To solve the given integrals step by step, we will break down each part of the question.

### Part (i): Evaluate \(\int \frac{dx}{4\cos x + 3\sin x}\)

**Step 1: Rewrite the integral in a suitable form.**
We can express \(4\cos x + 3\sin x\) in the form \(R\cos(x - \theta)\) where \(R = \sqrt{4^2 + 3^2} = \sqrt{16 + 9} = 5\).

**Step 2: Find \(\theta\).**
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