If `f(x)=max{x^2 ,(1-x)^2 ,3/4},x in [0,1]` , then the value of of `int_0^1 f(x)dx` is

If f(x)={(x,0lexle1),(2-x,1lexle2):} , then what is the value of int_0^2f(x)dx ?

f(0)=1 , f(2)=e^2 , f'(x)=f'(2-x) , then find the value of int_0^(2)f(x)dx

If int_0^x(f(t))dt=x+int_x^1(t^2.f(t))dt+pi/4-1 , then the value of the integral int_-1^1(f(x))dx is equal to

If f(x)=int(3x^2+1)/((x^2-1)^3)dx and f(0)=0, then the value of |2/(f(2))| is___

If f'(x)=f(x)+ int_(0)^(1)f(x)dx , given f(0)=1 , then the value of f(log_(e)2) is

If f'(x)=f(x)+int_(0)^(1)f(x)dx ,given f(0)=1 , then the value of f(log_(e)2) is

If f'(x)=f(x)+int_(0)^(1)f(x)dx ,given f(0)=1 , then the value of f(log_(e)2) is

If f(x)=int(dx)/((1+x^2)^ (3/2) and f(0)=0 then what is the value of f(1)?

If f(x)=x^(3)+3x+4, then the value of int_(-1)^(1)f(x)dx+int_(0)^(4)f^(-1)(x)dx equals