Let $I=\displaystyle\int_{-\pi/2}^{\pi/2}\dfrac{\sin^2x}{1+2^x}dx$. Use the property $\int_{-a}^a f(x)dx$: replace $x\to-x$:

$I=\displaystyle\int_{-\pi/2}^{\pi/2}\dfrac{\sin^2x}{1+2^{-x}}dx=\displaystyle\int_{-\pi/2}^{\pi/2}\dfrac{2^x\sin^2x}{1+2^x}dx$

Adding: $2I=\displaystyle\int_{-\pi/2}^{\pi/2}\sin^2x\,dx=\displaystyle\int_{-\pi/2}^{\pi/2}\dfrac{1-\cos2x}{2}dx=\dfrac{\pi}{2}$

$I=\dfrac{\pi}{4}$

Aristotle famously argued that human beings are meant to live in a 'polis' or city-state.

Advertising revenue in 1980 = $36 million = $36{,}000{,}000

Average daily circulation = 180,000

Ratio $= \frac{36{,}000{,}000}{180{,}000} = \frac{36{,}000{,}000}{180{,}000} = \frac{360}{1.8} = 200$

Therefore, the advertising revenue was 200 times the daily circulation.

However, checking answer index 3 (which is option D with value 20), there may be a unit issue. Let me recalculate considering if the question means something different... If advertising revenue is $36 million and circulation is 180,000, then $36{,}000{,}000 \div 180{,}000 = 200$.

The correct mathematical answer is 200, but if the marked answer is D (index 3, value 20), there may be an interpretation issue with the original problem.