Evaluate :`int_0^9{sqrtx}dx`, {x} represent fractional part of x. where `x inR`.

Evaluate: int_(0)^(2)|1-x|dx

Let f(x) = ([x]+1)/({x}+1) for f: [0, (5)/(2) ) to ((1)/(2) , 3] , where [*] represents the greatest integer function and {*} represents the fractional part of x. Draw the graph of y= f(x) . Prove that y=f(x) is bijective. Also find the range of the function.

Evaluate int_(0)^(2)e^(x)dx .

int_1^4 {x-0.4}dx equals (where {x} is a fractional part of x

[2x]-2[x]=lambda where [.] represents greatest integer function and {.} represents fractional part of a real number then

Evaluate : int dx/(2 sqrtx (x + 1))

Solve : x^(2) = {x} , where {x} represents the fractional part function.

Evaluate: int_0^oo(dx)/(1+x^2)

Let I_1=int_0^n[x]dx" and I_2=int_0^n{x}dx , where [x] and {x} are integral and fractional parts of x and nne N-{1} . Then (I_1)/(I_2) is equal to

Let f(x)=min({x},{-x})AA epsilonR , where {.} denotes the fractional part of x . Then int_(-100)^(100) f(x)dx is equal to