The value of ∫ - π /2 ^(π /2) dx/([ x ] + [ sin x ] + 4), where [t] denotes the greatest integer less than or equal to t, is

Integral Calculus: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Jan, Evening shift · Q3373

JEE Main 201910 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

The value of

\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {\left[ x \right] + \left[ {\sin x} \right] + 4}}} ,

where [t] denotes the greatest integer less than or equal to t, is

JEE Main 2019 · 10 Jan, Evening shift · Q3373

JEE Main 201910 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

The value of

\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {\left[ x \right] + \left[ {\sin x} \right] + 4}}} ,

where [t] denotes the greatest integer less than or equal to t, is