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Mathematics
Problem
Determine whether the integral
∫
0
π
/
2
(
sin
x
−
x
2
)
d
x
\int_{0}^{\pi/2} \bigl(\sin x - \tfrac{x}{2}\bigr)\,dx
∫
0
π
/2
(
sin
x
−
2
x
)
d
x
is positive, negative, or zero, giving a brief reason without carrying out the integration.
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