jee-main 2021 Q73

jee-main · India · session2_16mar_shift2 Indefinite & Definite Integrals Piecewise/Periodic Function Integration

Consider the integral $I = \int _ { 0 } ^ { 10 } \frac { [ x ] e ^ { [ x ] } } { e ^ { x - 1 } } d x$ where $[ x ]$ denotes the greatest integer less than or equal to $x$. Then the value of $I$ is equal to :
(1) $9 ( e - 1 )$
(2) $45 ( e + 1 )$
(3) $45 ( e - 1 )$
(4) $9 ( e + 1 )$

Consider the integral $I = \int _ { 0 } ^ { 10 } \frac { [ x ] e ^ { [ x ] } } { e ^ { x - 1 } } d x$ where $[ x ]$ denotes the greatest integer less than or equal to $x$. Then the value of $I$ is equal to :\\
(1) $9 ( e - 1 )$\\
(2) $45 ( e + 1 )$\\
(3) $45 ( e - 1 )$\\
(4) $9 ( e + 1 )$

Paper Questions

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