MathematicsMedium210×since 2002Q3373The value of ∫−π/2π/2dx[x]+[sinx]+4,\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {\left[ x \right] + \left[ {\sin x} \right] + 4}}} ,−π/2∫π/2[x]+[sinx]+4dx, where [t] denotes the greatest integer less than or equal to t, isA112(7π−5){1 \over {12}}\left( {7\pi - 5} \right)121(7π−5)B112(7π+5){1 \over {12}}\left( {7\pi + 5} \right)121(7π+5)C310(4π−3){3 \over {10}}\left( {4\pi - 3} \right)103(4π−3)D320(4π−3){3 \over {20}}\left( {4\pi - 3} \right)203(4π−3)Check answerSkip