Real Analysis: Integrals

Without evaluating the integral, how does one show that:
0 less than or equal to the integral from 0 to pi/6 sin(x) dx greater than or equal to pi/12?

Quote:

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Originally Posted by Coda202

Without evaluating the integral, how does one show that:
0 less than or equal to the integral from 0 to pi/6 sin(x) dx greater than or equal to pi/12?

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For we have .
Thus,