Evaluate: (i) `int1/(sin^3xcos^5x)\ dx` (ii) `int1/(sin^3xcos^2x)\ dx`

Explanation

To evaluate the integrals given in the question, we will proceed step by step for each integral.

### (i) Evaluate: \(\int \frac{1}{\sin^3 x \cos^5 x} \, dx\)

1. **Rewrite the integral**:
\[ I = \int \frac{1}{\sin^3 x \cos^5 x} \, dx = \int \frac{\sec^5 x}{\sin^3 x} \, dx \]
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