If _0^ 100 ^2x e^ ( x - [ x ] ) dx= ^3 1+4 ^2 , R where [x] is the greatest integer less than or equal to x,...

Question

If _0^ 100 ^2x e^ ( x - [ x ] ) dx= ^3 1+4 ^2 , R where [x] is the greatest integer less than or equal to x, then the value of is -

Accepted Answer

(A)

JEE Main 2021 Mathematics question