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If [y] denotes the greatest integer less than or equal to y, find the value of [integral from 0 to pi/2 of sin⁴(x) dx].

1. 0
2. 1
3. 3
4. 4

Correct answer: 0

Solution

Using the Wallis formula, the integral of sin⁴(x) from 0 to pi/2 equals (3*pi)/16 ~ 0.589. The greatest integer less than or equal to 0.589 is 0.

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