JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

The value of $\frac{- π}{2} \int \frac{π}{2} \frac{d x}{[ x ] + [ sin x ] + 4},$ where [t] denotes the greatest integer less than or equal to t, is :

A
$\frac{1}{12} (7 π - 5)$
B
$\frac{3}{10} (4 π - 3)$
C
$\frac{3}{20} (4 π - 3)$
D
$\frac{1}{12} (7 π + 5)$

Solution

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