Evaluate `int_(0)^(9) {sqrtx} d x `, where `{x}` denotes the fractional part of x

Evaluate int_(0)^(2){x} d x , where {x} denotes the fractional part of x.

int_(0)^(4) {sqrt(x)} is equal to, where {x} denotes the fraction part of x.

Evaluate int_(-3)^(5) e^({x})dx , where {.} denotes the fractional part functions.

if f(x) ={x^(2)} , where {x} denotes the fractional part of x , then

int_0^9{sqrt(x)}dx , where {x} denotes the fractional part of x , is 5 (b) 6 (c) 4 (d) 3

Find the value of int_(0)^(x){t}dt,x inR^(+) , here {.} denotes fractional part of 'x'.

The value of int_(0)^(4) {x} dx (where , {.} denotes fractional part of x) is equal to

The value of int_(0)^(1)({2x}-1)({3x}-1)dx , (where {} denotes fractional part opf x) is equal to :

Statement-1: int_-3^3 x^8{x^9}dx=2xx3^7 , where {x} denotes the fractional part of x .Statement-2: [x]+[-x]=-1 , if x is not an integer, where [x] denotes the integral part of x . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Evaluate : (i) int_(-1)^(2){2x}dx (where function {*} denotes fractional part function) (ii) int_(0)^(10x)(|sinx|+|cosx|) dx (iii) (int_(0)^(n)[x]dx)/(int_(0)^(n)[x]dx) where [x] and {x} are integral and fractional parts of the x and n in N (iv) int_(0)^(210)(|sinx|-[|(sinx)/(2)|])dx (where [] denotes the greatest integer function and n in 1 )