The value of _ - / 2 ^ / 2 d x [x]+[ x]+4 , where [t] denotes the greatest integer less…
Mathematics · JEE Main · NTA Exams — Integral Calculus
The value of \(\int_{-\pi / 2}^{\pi / 2} \frac{d x}{[x]+[\sin x]+4}\), where [t] denotes the greatest integer less than or equal to t, is:
- \(\frac{1}{12}(7 \pi-5)\)
- \(\frac{1}{12}(7 \pi+5)\)
- \(\frac{3}{10}(4 \pi-3)\)
- \(\frac{3}{20}(4 \pi-3)\)
Answer
(D) 3 20 (4 -3)
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