Evaluate `int_0^a f(x) dx`

int_0^a f(a-x) dx=

Evaluate int_0^2 |1-x| dx

given the function quad ={x^(2);0<=x<=1sqrt(x):1<=x<=2 then evaluate int_(0)^(2)f(x)dx=

If int_(0)^(a)f(x)dx=10 ,then Evaluate int_(0)^(a)f(a-x)dx

If int_(0)^(a)f(x)dx=10 ,then Evaluate int_(0)^(a)f(a-x)dx

Evaluate int_0^1 x^7dx

Let f(x) be a differentiable function in the interval (0,2) , then the value of int_0^2 f(x) dx is :

Sketch the graph of : f (x) = {{:(|x-2|+2"," x le 2),( " "x ^(2) -2 "," x gt 2):}. Evaluate int _(0) ^(4)f (x) dx. What does the value of this integral represent on the graph ?

Evaluate: if int f(x)dx=g(x), then int f^(-1)(x)dx