# The Cardinal Sine Evaluation

Calculus Level 4

$\large \displaystyle \int_{\pi /6}^{\pi /2} f(x) \, dx + \int_{3/ \pi}^{2/ \pi } g(x) \, dx$

In mathematics the cardinal sine function or $$\text{sinc}(x)$$ is defined as $$f(x) = \frac {\sin(x)}x$$. Let $$g(x)$$ denote the inverse function of $$f(x)$$.

What is the value of the expression given above?

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