JEE Main 202225 Jul, Evening shiftMathematicsMediumIntegral Calculus369× since 2002Let [t][t][t] denote the greatest integer less than or equal to ttt. Then the value of the integral ∫−3101([sin(πx)]+e[cos(2πx)])dx\int_{-3}^{101}\left([\sin (\pi x)]+e^{[\cos (2 \pi x)]}\right) d x∫−3101([sin(πx)]+e[cos(2πx)])dx is equal toAOption A. 52(1−e)e\frac{52(1-e)}{e}e52(1−e)BOption B. 52e\frac{52}{e}e52COption C. 52(2+e)e\frac{52(2+e)}{e}e52(2+e)DOption D. 104e\frac{104}{e}e104CheckSkip · show solution
