Evaluate `int_(0)^(pi)(sin 6x)/(sinx) dx`.

Explanation

To evaluate the integral \( I = \int_{0}^{\pi} \frac{\sin(6x)}{\sin(x)} \, dx \), we can use the property of definite integrals that states:

\[ \int_{0}^{a} f(x) \, dx = \int_{0}^{a} f(a - x) \, dx \]

In our case, \( a = \pi \). Therefore, we can rewrite the integral as follows:

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