Evaluate : `int_(0)^(pi//6) (cosx)/(3+4 sin x)dx`

Explanation

To evaluate the integral \( I = \int_{0}^{\frac{\pi}{6}} \frac{\cos x}{3 + 4 \sin x} \, dx \), we will use the substitution method.

### Step-by-step Solution:

1. **Set up the integral**:
\[ I = \int_{0}^{\frac{\pi}{6}} \frac{\cos x}{3 + 4 \sin x} \, dx \]
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