The Cardinal Sine Evaluation - Part 2

Calculus Level 4

\[ \large \displaystyle \int _{ 0 }^{ \frac { \pi }{ 2 } }{ f\left( x \right) f\left( \frac { \pi }{ 2 } -x \right) } \, dx\]

In mathematics the cardinal sine function or \(\text{sinc}(x) \) is defined as \(f(x) = \frac {\sin(x)}x \).

Which of these answer choices represent the value of above expression?


This problem is orignal. Try the sister problem: The Cardinal Sine Evaluation.
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