The value of `int_(0)^(2)x^([x^(2)+1])(dx),` where `[x]` is the greatest integer less than or equal to `x` is

int_(0)^(15/2)[x-1]dx= where [x] denotes the greatest integer less than or equal to x

The value of int_(-1)^(2)|[x]-{x}dx, where [x] isthe greatest integer less then or equal to x and {x} is theTrectional part of a is

The value of int_-1^1 (sin^2x)/([x/sqrt(2)]+1/2)dx , where [x] =greatest integer less than or equal to x , is (A) 1 (B) 0 (C) 4-sin4 (D) none of these

If f(x)=|x-1|-[x] , where [x] is the greatest integer less than or equal to x, then

if f(x)=(sin(4 pi[x]))/(1+[x]^(2)), where [x] is the greatest integer less than or equal to x ,

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

The value of int_(0)^(2)[x^(2)-x+1]dx (where,[*] denotes the greatest integer function) is equal to

If f(x)=|x-1|-[x] (where [x] is greatest integer less than or equal to x ) then.

Consider the integral I=int_(0)^(10)([x]e^([x]))/(e^(x-1))dx , where [x] denotes the greatest integer less than or equal to x. Then the value of I is equal to :