Greatest Integer Function Integral (Jee Mains) | ExamDuo
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Definite Integrals and Reduction
Medium
Greatest Integer Function Integral
Let [·] denote the greatest integer function. Then
dx is equal to :
SELECT ONE OPTION
A
15π + 4
B
11π + 2
C
13π + 1
D
12π + 5
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![\int\limits_{ - \frac{\pi }{2}}^{\frac{\pi }{2}} {\left( {\frac{{12(3 + [x])}}{{3 + [\sin x] + [\cos x]}}} \right)}](https://cdn.examduo.ai/jee/65a29fa218a8b040.webp)