Let [.] denote the greatest integer function. Then is equal to:

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Solution

Q.
Let [.] denote the greatest integer function. Then $\int_{- \frac{π}{2}}^{\frac{π}{2}} (\frac{12 (3 + [x])}{3 + [\sin x] + [\cos x]})$ is equal to: [2026]

1 $13 π + 1$

2 $15 π + 4$

3 $11 π + 2$

4 $12 π + 5$

Ans.
(3)

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