Prove that `int_(0)^(oo) (sin^(2)x)/(x^(2))dx=int_(0)^(oo) (sinx)x dx`

Explanation

To prove that

\[ \int_{0}^{\infty} \frac{\sin^2 x}{x^2} \, dx = \int_{0}^{\infty} \frac{\sin x}{x} \, dx, \]

we will start with the left-hand side and manipulate it step by step.

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